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40637778116640 = 2535331925508297
BaseRepresentation
bin10010011110101101110000…
…10101000100000000100000
312022212221012121222020022220
421033112320111010000200
520311302132144213030
6222232423150431040
711362661011431345
oct1117267025040040
9168787177866286
1040637778116640
1111a4842635a871
124683a59802480
13198a183b83433
14a06c43bd47cc
154a7136480a10
hex24f5b8544020

40637778116640 has 96 divisors (see below), whose sum is σ = 128047574632320. Its totient is φ = 10833475344384.

The previous prime is 40637778116623. The next prime is 40637778116651. The reversal of 40637778116640 is 4661187773604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11161029 + ... + 14347268.

It is an arithmetic number, because the mean of its divisors is an integer number (1333828902420).

Almost surely, 240637778116640 is an apocalyptic number.

40637778116640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40637778116640 is an abundant number, since it is smaller than the sum of its proper divisors (87409796515680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40637778116640 is a wasteful number, since it uses less digits than its factorization.

40637778116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25511634 (or 25511626 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 60.

The spelling of 40637778116640 in words is "forty trillion, six hundred thirty-seven billion, seven hundred seventy-eight million, one hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3319 6638 9957 13276 16595 19914 26552 33190 39828 49785 53104 66380 79656 99570 106208 132760 159312 199140 265520 318624 398280 531040 796560 1593120 25508297 51016594 76524891 102033188 127541485 153049782 204066376 255082970 306099564 382624455 408132752 510165940 612199128 765248910 816265504 1020331880 1224398256 1530497820 2040663760 2448796512 3060995640 4081327520 6121991280 12243982560 84662037743 169324075486 253986113229 338648150972 423310188715 507972226458 677296301944 846620377430 1015944452916 1269930566145 1354592603888 1693240754860 2031888905832 2539861132290 2709185207776 3386481509720 4063777811664 5079722264580 6772963019440 8127555623328 10159444529160 13545926038880 20318889058320 40637778116640