426436634624 has 288 divisors, whose sum is σ = 1151199241920. Its totient is φ = 153354240000.

The previous prime is 426436634621. The next prime is 426436634633.

426436634624 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (426436634621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26642624 + ... + 26658624.

It is an arithmetic number, because the mean of its divisors is an integer number (3997219590).

Almost surely, 2^426436634624 is an apocalyptic number.

426436634624 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 426436634624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575599620960).

426436634624 is an abundant number, since it is smaller than the sum of its proper divisors (724762607296).

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

426436634624 is a wasteful number, since it uses less digits than its factorization.

426436634624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16067 (or 16034 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 50.

The spelling of 426436634624 in words is "four hundred twenty-six billion, four hundred thirty-six million, six hundred thirty-four thousand, six hundred twenty-four".