9931412800 has 42 divisors (see below), whose sum is σ = 24437486558. Its totient is φ = 3972564480.

The previous prime is 9931412783. The next prime is 9931412839. The reversal of 9931412800 is 82141399.

9931412800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 231526656 + 9699886144 = 15216^2 + 98488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9931412800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3101967 + ... + 3105166.

Almost surely, 2^9931412800 is an apocalyptic number.

It is an amenable number.

9931412800 is an abundant number, since it is smaller than the sum of its proper divisors (14506073758).

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

9931412800 is a wasteful number, since it uses less digits than its factorization.

9931412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6207155 (or 6207140 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 9931412800 is about 99656.4739492623. The cubic root of 9931412800 is about 2149.4978311597.

The spelling of 9931412800 in words is "nine billion, nine hundred thirty-one million, four hundred twelve thousand, eight hundred".