42590325024 has 144 divisors (see below), whose sum is σ = 131372841600. Its totient is φ = 13010277888.

The previous prime is 42590324983. The next prime is 42590325053. The reversal of 42590325024 is 42052309524.

42590325024 is a `hidden beast` number, since 42 + 590 + 3 + 2 + 5 + 0 + 24 = 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 self number, because there is not a number n which added to its sum of digits gives 42590325024.

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, 479497 + ... + 561335.

It is an arithmetic number, because the mean of its divisors is an integer number (912311400).

Almost surely, 2^42590325024 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 42590325024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65686420800).

42590325024 is an abundant number, since it is smaller than the sum of its proper divisors (88782516576).

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

42590325024 is a wasteful number, since it uses less digits than its factorization.

42590325024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82007 (or 81996 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 42590325024 in words is "forty-two billion, five hundred ninety million, three hundred twenty-five thousand, twenty-four".