426332712960 has 3328 divisors, whose sum is σ = 2174061772800. Its totient is φ = 76441190400.

The previous prime is 426332712947. The next prime is 426332712997. The reversal of 426332712960 is 69217233624.

426332712960 is a `hidden beast` number, since 4 + 2 + 633 + 2 + 7 + 1 + 2 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13752668145 + ... + 13752668175.

Almost surely, 2^426332712960 is an apocalyptic number.

426332712960 is a gapful number since it is divisible by the number (40) 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 426332712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087030886400).

426332712960 is an abundant number, since it is smaller than the sum of its proper divisors (1747729059840).

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

426332712960 is a wasteful number, since it uses less digits than its factorization.

426332712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 426332712960 in words is "four hundred twenty-six billion, three hundred thirty-two million, seven hundred twelve thousand, nine hundred sixty".