Numbers 410,000,000,000s

411,237,473,284

[Math.]  Sum of the first 1132 cube numbers:

13+…+11323 = 411,237,473,284 = (1+…+1132)2 = 641,2782.

412,691,892,921

[Math.]  Sum of the first 1133 cube numbers:

13+…+11333 = 412,691,892,921 = (1+…+1133)2 = 642,4112.

412,910,869,360

[Math.]  Two consecutive sums of consecutive square numbers:

412,910,869,360 = 507212+…+508802 = 508812+…+510392.

413,908,229,449

[Math.]  127,194,229,449 = (127194+229449)2 = 356,6432 and 413,908,229,449 = (413908+229449)2 = 643,3572 and 356,643+643357 = 1,000,000.

414,150,167,025

[Math.]  Sum of the first 1134 cube numbers:

13+…+11343 = 414,150,167,025 = (1+…+1134)2 = 643,5452.

415,612,302,400

[Math.]  Sum of the first 1135 cube numbers:

13+…+11353 = 415,612,302,400 = (1+…+1135)2 = 644,6802.

417,078,305,856

[Math.]  Sum of the first 1136 cube numbers:

13+…+11363 = 417,078,305,856 = (1+…+1136)2 = 645,8162.

418,212,890,625

[Math.]  Its odd powers end with 418,212,890,625. Its even powers end with 918,212,890,625.

418,548,184,209

[Math.]  Sum of the first 1137 cube numbers:

13+…+11373 = 418,548,184,209 = (1+…+1137)2 = 646,9532.