31052412044040 has 256 divisors, whose sum is σ = 97886610432000. Its totient is φ = 7865313629184.

The previous prime is 31052412044021. The next prime is 31052412044051. The reversal of 31052412044040 is 4044021425013.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31052412043989 and 31052412044007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1966953027 + ... + 1966968813.

It is an arithmetic number, because the mean of its divisors is an integer number (382369572000).

Almost surely, 2^{31052412044040} is an apocalyptic number.

31052412044040 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 31052412044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48943305216000).

31052412044040 is an abundant number, since it is smaller than the sum of its proper divisors (66834198387960).

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

31052412044040 is a wasteful number, since it uses less digits than its factorization.

31052412044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20756 (or 20752 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 31052412044040 its reverse (4044021425013), we get a palindrome (35096433469053).

The spelling of 31052412044040 in words is "thirty-one trillion, fifty-two billion, four hundred twelve million, forty-four thousand, forty".