40172591131200 has 420 divisors, whose sum is σ = 161088376468272. Its totient is φ = 9738809625600.

The previous prime is 40172591131199. The next prime is 40172591131219. The reversal of 40172591131200 is 213119527104.

It is a happy number.

40172591131200 is a `hidden beast` number, since 4 + 0 + 17 + 2 + 591 + 1 + 31 + 20 + 0 = 666.

It is a super-2 number, since 2×40172591131200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12664114 + ... + 15515313.

Almost surely, 2^{40172591131200} is an apocalyptic number.

40172591131200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40172591131200 is an abundant number, since it is smaller than the sum of its proper divisors (120915785337072).

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

40172591131200 is a wasteful number, since it uses less digits than its factorization.

40172591131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28179472 (or 28179448 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 40172591131200 in words is "forty trillion, one hundred seventy-two billion, five hundred ninety-one million, one hundred thirty-one thousand, two hundred".