426450054624 has 192 divisors, whose sum is σ = 1256339331072. Its totient is φ = 125520537600.

The previous prime is 426450054617. The next prime is 426450054637.

426450054624 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23707714 + ... + 23725694.

It is an arithmetic number, because the mean of its divisors is an integer number (6543434016).

Almost surely, 2^426450054624 is an apocalyptic number.

426450054624 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 426450054624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628169665536).

426450054624 is an abundant number, since it is smaller than the sum of its proper divisors (829889276448).

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

426450054624 is a wasteful number, since it uses less digits than its factorization.

426450054624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18649 (or 18641 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 426450054624 in words is "four hundred twenty-six billion, four hundred fifty million, fifty-four thousand, six hundred twenty-four".