31045402400 has 72 divisors (see below), whose sum is σ = 75851434260. Its totient is φ = 12408028160.

The previous prime is 31045402391. The next prime is 31045402439. The reversal of 31045402400 is 420454013.

It can be written as a sum of positive squares in 6 ways, for example, as 16753678096 + 14291724304 = 129436^2 + 119548^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1006406 + ... + 1036794.

Almost surely, 2^31045402400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31045402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37925717130).

31045402400 is an abundant number, since it is smaller than the sum of its proper divisors (44806031860).

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

31045402400 is a wasteful number, since it uses less digits than its factorization.

31045402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31686 (or 31673 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 31045402400 its reverse (420454013), we get a palindrome (31465856413).

The spelling of 31045402400 in words is "thirty-one billion, forty-five million, four hundred two thousand, four hundred".