31265564040000 has 840 divisors, whose sum is σ = 113835414638088. Its totient is φ = 8200857600000.

The previous prime is 31265564039993. The next prime is 31265564040017. The reversal of 31265564040000 is 4046556213.

31265564040000 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 5 + 5 + 640 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 19072505715264 + 12193058324736 = 4367208^2 + 3491856^2 .

It is a super-2 number, since 2×31265564040000² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5708517262 + ... + 5708522738.

Almost surely, 2^{31265564040000} is an apocalyptic number.

31265564040000 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 31265564040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56917707319044).

31265564040000 is an abundant number, since it is smaller than the sum of its proper divisors (82569850598088).

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

31265564040000 is a wasteful number, since it uses less digits than its factorization.

31265564040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 31265564040000 in words is "thirty-one trillion, two hundred sixty-five billion, five hundred sixty-four million, forty thousand".