426971412864 has 128 divisors (see below), whose sum is σ = 1260404248800. Its totient is φ = 142296072192.

The previous prime is 426971412821. The next prime is 426971412937. The reversal of 426971412864 is 468214179624.

426971412864 is a `hidden beast` number, since 42 + 69 + 71 + 412 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 426971412864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25624824 + ... + 25641480.

Almost surely, 2^426971412864 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 426971412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630202124400).

426971412864 is an abundant number, since it is smaller than the sum of its proper divisors (833432835936).

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

426971412864 is a wasteful number, since it uses less digits than its factorization.

426971412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24097 (or 24079 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 426971412864 in words is "four hundred twenty-six billion, nine hundred seventy-one million, four hundred twelve thousand, eight hundred sixty-four".