426712725504 has 288 divisors, whose sum is σ = 1333097241840. Its totient is φ = 130715615232.

The previous prime is 426712725457. The next prime is 426712725521. The reversal of 426712725504 is 405527217624.

426712725504 is a `hidden beast` number, since 4 + 2 + 6 + 71 + 2 + 72 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 426712725504.

It is a congruent number.

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, 55826707 + ... + 55834349.

Almost surely, 2^426712725504 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 426712725504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666548620920).

426712725504 is an abundant number, since it is smaller than the sum of its proper divisors (906384516336).

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

426712725504 is a wasteful number, since it uses less digits than its factorization.

426712725504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7917 (or 7894 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 426712725504 in words is "four hundred twenty-six billion, seven hundred twelve million, seven hundred twenty-five thousand, five hundred four".