31404414125200 has 30 divisors (see below), whose sum is σ = 75449104936754. Its totient is φ = 12561765649920.

The previous prime is 31404414125191. The next prime is 31404414125261. The reversal of 31404414125200 is 252141440413.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 112115146896 + 31292298978304 = 334836^2 + 5593952^2 .

It is a super-2 number, since 2×31404414125200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39255517257 + ... + 39255518056.

Almost surely, 2^{31404414125200} is an apocalyptic number.

It is an amenable number.

31404414125200 is an abundant number, since it is smaller than the sum of its proper divisors (44044690811554).

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

31404414125200 is a wasteful number, since it uses less digits than its factorization.

31404414125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78511035331 (or 78511035320 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 31404414125200 its reverse (252141440413), we get a palindrome (31656555565613).

The spelling of 31404414125200 in words is "thirty-one trillion, four hundred four billion, four hundred fourteen million, one hundred twenty-five thousand, two hundred".