31642041984 has 128 divisors (see below), whose sum is σ = 99368726400. Its totient is φ = 8728817664.

The previous prime is 31642041971. The next prime is 31642042009. The reversal of 31642041984 is 48914024613.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125007 + ... + 280910.

It is an arithmetic number, because the mean of its divisors is an integer number (776318175).

Almost surely, 2^31642041984 is an apocalyptic number.

It is an amenable number.

31642041984 is an abundant number, since it is smaller than the sum of its proper divisors (67726684416).

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

31642041984 is a wasteful number, since it uses less digits than its factorization.

31642041984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405970 (or 405958 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 31642041984 in words is "thirty-one billion, six hundred forty-two million, forty-one thousand, nine hundred eighty-four".