LeBron James has the most games by a player 35 or older with 40+ points, with 15 games.

Interpreted as:

most 40 or more point regular-season games after turning 35 years old by a player

	NAME	GP	PTS	MPG	PPG	RPG	APG	SPG	BPG	FGM	FGA	FG%	3PM	3PA	3P%	FTM	FTA	FT%	TS%	OREB	DREB	TPG	MIN	REB	AST	STL	BLK	TOV	PF	+/-
1	LeBron James L. James	15	662	36.9	44.1	9.3	6.5	0.9	0.9	15.9	25.5	62.6	5.3	9.1	58.8	6.9	8.1	85.2	76.0	1.2	8.1	3.5	554	140	97	13	14	52	14	+144
2	Michael Jordan M. Jordan	12	517	41.3	43.1	6.8	4.3	2.3	0.3	16.8	30.3	55.2	0.7	1.6	42.1	8.9	10.4	85.6	61.7	1.7	5.2	1.6	496	82	52	27	3	19	24	+137
3	Stephen Curry S. Curry	11	512	36.0	46.5	4.5	5.0	1.5	0.4	16.0	26.9	59.5	8.9	16.4	54.4	5.6	6.1	92.5	78.7	0.5	4.0	3.1	396	50	55	17	4	34	18	+47
4	Kevin Durant K. Durant	7	294	38.4	42.0	6.3	5.7	1.0	1.1	16.1	27.6	58.5	3.4	7.6	45.3	6.3	6.9	91.7	68.7	0.6	5.7	4.0	269	44	40	7	8	28	15	+22
5	James Harden J. Harden	4	174	34.1	43.5	3.5	6.8	1.5	0.5	12.5	21.8	57.5	6.0	11.3	53.3	12.5	14.3	87.7	77.6	0.5	3.0	3.5	137	14	27	6	2	14	6	+77
6	Kareem Abdul-Jabbar K. Abdul-Jabbar	4	169	39.5	42.3	7.3	3.5	1.0	1.8	17.0	26.3	64.8	0.0	0.0		8.3	9.8	84.6	69.2	2.0	5.3	3.3	158	29	14	4	7	13	11
7	Karl Malone K. Malone	3	121	40.0	40.3	10.0	4.7	2.3	1.3	14.0	20.7	67.7	0.0	0.0		12.3	16.3	75.5	72.4	0.7	9.3	3.7	120	30	14	7	4	11	8	+9
8	Elgin Baylor E. Baylor	3	126	44.3	42.0	11.7	1.7			18.3	29.7	61.8				5.3	7.3	72.7	63.8				133	35	5				11
9	Kobe Bryant K. Bryant	2	104	36.8	52.0	4.5	3.5	0.5	0.5	18.5	42.0	44.0	4.5	16.5	27.3	10.5	14.0	75.0	54.0	0.5	4.0	2.0	74	9	7	1	1	4	4	-27
10	Dirk Nowitzki D. Nowitzki	2	80	36.3	40.0	6.0	4.0	2.0	0.0	13.0	23.0	56.5	4.0	7.0	57.1	10.0	10.5	95.2	72.4	0.0	6.0	1.5	73	12	8	4	0	3	7	+18
11	Alex English A. English	2	94	45.5	47.0	3.0	6.5	1.5	0.0	20.5	34.0	60.3	0.0	0.0		6.0	6.5	92.3	63.8	0.5	2.5	2.5	91	6	13	3	0	5	6
12	DeMar DeRozan D. DeRozan	1	42	38.6	42.0	7.0	3.0	0.0	0.0	15.0	22.0	68.2	4.0	6.0	66.7	8.0	8.0	100.0	82.3	0.0	7.0	1.0	39	7	3	0	0	1	2	+21
13	Jamal Crawford J. Crawford	1	51	38.1	51.0	5.0	5.0	1.0	1.0	18.0	30.0	60.0	7.0	13.0	53.8	8.0	9.0	88.9	75.1	0.0	5.0	4.0	38	5	5	1	1	4	4	-5
14	Paul Pierce P. Pierce	1	40	33.6	40.0	8.0	5.0	3.0	1.0	13.0	16.0	81.3	6.0	7.0	85.7	8.0	8.0	100.0	102.5	0.0	8.0	1.0	34	8	5	3	1	1	2	+29
15	Shaquille O'Neal S. O'Neal	1	45	35.1	45.0	11.0	2.0	3.0	1.0	20.0	25.0	80.0	0.0	0.0		5.0	8.0	62.5	78.9	3.0	8.0	3.0	35	11	2	3	1	3	4	+17
16	Reggie Miller R. Miller	1	41	42.0	41.0	2.0	5.0	0.0	1.0	13.0	21.0	61.9	7.0	11.0	63.6	8.0	8.0	100.0	83.6	0.0	2.0	1.0	42	2	5	0	1	1	1	+19
17	Clyde Drexler C. Drexler	1	43	34.0	43.0	4.0	6.0	2.0	0.0	15.0	25.0	60.0	3.0	5.0	60.0	10.0	11.0	90.9	72.1	1.0	3.0	2.0	34	4	6	2	0	2	2	+29
18	Larry Bird L. Bird	1	49	54.0	49.0	14.0	12.0	4.0	1.0	19.0	35.0	54.3	2.0	8.0	25.0	9.0	10.0	90.0	62.2	0.0	14.0	5.0	54	14	12	4	1	5	5
19	Walter Davis W. Davis	1	41	33.0	41.0	8.0	2.0	1.0	0.0	18.0	32.0	56.3	2.0	2.0	100.0	3.0	4.0	75.0	60.7	5.0	3.0	1.0	33	8	2	1	0	1	4