31200434243424 has 144 divisors (see below), whose sum is σ = 91136693295648. Its totient is φ = 10117676998656.

The previous prime is 31200434243413. The next prime is 31200434243431. The reversal of 31200434243424 is 42434243400213.

31200434243424 is a `hidden beast` number, since 3 + 1 + 200 + 4 + 3 + 4 + 24 + 3 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79265469 + ... + 79658115.

It is an arithmetic number, because the mean of its divisors is an integer number (632893703442).

Almost surely, 2^{31200434243424} 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 31200434243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45568346647824).

31200434243424 is an abundant number, since it is smaller than the sum of its proper divisors (59936259052224).

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

31200434243424 is a wasteful number, since it uses less digits than its factorization.

31200434243424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400157 (or 400146 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 31200434243424 its reverse (42434243400213), we get a palindrome (73634677643637).

The spelling of 31200434243424 in words is "thirty-one trillion, two hundred billion, four hundred thirty-four million, two hundred forty-three thousand, four hundred twenty-four".