426752804100 has 864 divisors, whose sum is σ = 1559420190720. Its totient is φ = 89555880960.

The previous prime is 426752804063. The next prime is 426752804111. The reversal of 426752804100 is 1408257624.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1879968187 + ... + 1879968413.

It is an arithmetic number, because the mean of its divisors is an integer number (1804884480).

Almost surely, 2^426752804100 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 426752804100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779710095360).

426752804100 is an abundant number, since it is smaller than the sum of its proper divisors (1132667386620).

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

426752804100 is a wasteful number, since it uses less digits than its factorization.

426752804100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 426752804100 in words is "four hundred twenty-six billion, seven hundred fifty-two million, eight hundred four thousand, one hundred".