426826628624 has 80 divisors (see below), whose sum is σ = 921328888320. Its totient is φ = 189932160000.

The previous prime is 426826628617. The next prime is 426826628639.

It is a happy number.

426826628624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×426826628624² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426826628624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1447169 + ... + 1716959.

It is an arithmetic number, because the mean of its divisors is an integer number (11516611104).

Almost surely, 2^426826628624 is an apocalyptic number.

426826628624 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 426826628624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460664444160).

426826628624 is an abundant number, since it is smaller than the sum of its proper divisors (494502259696).

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

426826628624 is a wasteful number, since it uses less digits than its factorization.

426826628624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270000 (or 269994 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 56.

The spelling of 426826628624 in words is "four hundred twenty-six billion, eight hundred twenty-six million, six hundred twenty-eight thousand, six hundred twenty-four".