252431112040000 has 140 divisors (see below), whose sum is σ = 626056005137200. Its totient is φ = 100954880064000.

The previous prime is 252431112039989. The next prime is 252431112040067. The reversal of 252431112040000 is 40211134252.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 19 ways as a sum of consecutive naturals, for example, 230613991 + ... + 231706009.

Almost surely, 2^{252431112040000} is an apocalyptic number.

252431112040000 is a gapful number since it is divisible by the number (20) 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 252431112040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313028002568600).

252431112040000 is an abundant number, since it is smaller than the sum of its proper divisors (373624893097200).

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

252431112040000 is an equidigital number, since it uses as much as digits as its factorization.

252431112040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097830 (or 1097805 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 252431112040000 its reverse (40211134252), we get a palindrome (252471323174252).

The spelling of 252431112040000 in words is "two hundred fifty-two trillion, four hundred thirty-one billion, one hundred twelve million, forty thousand".