42956250624 has 1080 divisors, whose sum is σ = 166357084608. Its totient is φ = 10590289920.

The previous prime is 42956250619. The next prime is 42956250637. The reversal of 42956250624 is 42605265924.

42956250624 is a `hidden beast` number, since 4 + 29 + 562 + 5 + 0 + 62 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42956250624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1385685489 + ... + 1385685519.

Almost surely, 2^42956250624 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 42956250624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83178542304).

42956250624 is an abundant number, since it is smaller than the sum of its proper divisors (123400833984).

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

42956250624 is a wasteful number, since it uses less digits than its factorization.

42956250624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 42956250624 in words is "forty-two billion, nine hundred fifty-six million, two hundred fifty thousand, six hundred twenty-four".