31374299904000 has 384 divisors, whose sum is σ = 104420852827200. Its totient is φ = 8363861606400.

The previous prime is 31374299903993. The next prime is 31374299904037. The reversal of 31374299904000 is 40999247313.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×31374299904000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4805372736 + ... + 4805379264.

Almost surely, 2^{31374299904000} is an apocalyptic number.

31374299904000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31374299904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52210426413600).

31374299904000 is an abundant number, since it is smaller than the sum of its proper divisors (73046552923200).

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

31374299904000 is an equidigital number, since it uses as much as digits as its factorization.

31374299904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12826 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 31374299904000 in words is "thirty-one trillion, three hundred seventy-four billion, two hundred ninety-nine million, nine hundred four thousand".