31722120540432 has 240 divisors, whose sum is σ = 101661345257472. Its totient is φ = 9045533571840.

The previous prime is 31722120540379. The next prime is 31722120540443. The reversal of 31722120540432 is 23404502122713.

31722120540432 is a `hidden beast` number, since 3 + 1 + 7 + 2 + 212 + 0 + 5 + 4 + 0 + 432 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 1085207257 + ... + 1085236487.

Almost surely, 2^{31722120540432} 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 31722120540432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50830672628736).

31722120540432 is an abundant number, since it is smaller than the sum of its proper divisors (69939224717040).

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

31722120540432 is a wasteful number, since it uses less digits than its factorization.

31722120540432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31346 (or 31337 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 31722120540432 in words is "thirty-one trillion, seven hundred twenty-two billion, one hundred twenty million, five hundred forty thousand, four hundred thirty-two".