426227722624 has 64 divisors (see below), whose sum is σ = 926941320000. Its totient is φ = 193609669120.

The previous prime is 426227722607. The next prime is 426227722681.

It is a happy number.

426227722624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2009619 + ... + 2211565.

It is an arithmetic number, because the mean of its divisors is an integer number (14483458125).

Almost surely, 2^426227722624 is an apocalyptic number.

426227722624 is a gapful number since it is divisible by the number (44) 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 426227722624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463470660000).

426227722624 is an abundant number, since it is smaller than the sum of its proper divisors (500713597376).

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

426227722624 is a wasteful number, since it uses less digits than its factorization.

426227722624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203471 (or 203459 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 46.

The spelling of 426227722624 in words is "four hundred twenty-six billion, two hundred twenty-seven million, seven hundred twenty-two thousand, six hundred twenty-four".