426017636352 has 900 divisors, whose sum is σ = 1603050766240. Its totient is φ = 110361968640.

The previous prime is 426017636347. The next prime is 426017636389. The reversal of 426017636352 is 253636710624.

426017636352 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 1 + 7 + 6 + 3 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 426017636298 and 426017636307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1124056899 + ... + 1124057277.

Almost surely, 2^426017636352 is an apocalyptic number.

426017636352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426017636352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801525383120).

426017636352 is an abundant number, since it is smaller than the sum of its proper divisors (1177033129888).

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

426017636352 is an equidigital number, since it uses as much as digits as its factorization.

426017636352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 426017636352 in words is "four hundred twenty-six billion, seventeen million, six hundred thirty-six thousand, three hundred fifty-two".