425056290624 has 756 divisors, whose sum is σ = 1503781677216. Its totient is φ = 114764880384.

The previous prime is 425056290551. The next prime is 425056290643. The reversal of 425056290624 is 426092650524.

425056290624 is a `hidden beast` number, since 4 + 25 + 0 + 562 + 9 + 0 + 62 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 425056290624.

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, 5121160087 + ... + 5121160169.

Almost surely, 2^425056290624 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 425056290624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751890838608).

425056290624 is an abundant number, since it is smaller than the sum of its proper divisors (1078725386592).

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

425056290624 is an frugal number, since it uses more digits than its factorization.

425056290624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 118 counting only the distinct ones).

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

The spelling of 425056290624 in words is "four hundred twenty-five billion, fifty-six million, two hundred ninety thousand, six hundred twenty-four".