426294492624 has 320 divisors, whose sum is σ = 1642908180480. Its totient is φ = 102208366080.

The previous prime is 426294492623. The next prime is 426294492629.

426294492624 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 9 + 4 + 4 + 9 + 2 + 624 = 666.

426294492624 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426294492623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60472 + ... + 925335.

It is an arithmetic number, because the mean of its divisors is an integer number (5134088064).

Almost surely, 2^426294492624 is an apocalyptic number.

426294492624 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 426294492624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821454090240).

426294492624 is an abundant number, since it is smaller than the sum of its proper divisors (1216613687856).

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

426294492624 is a wasteful number, since it uses less digits than its factorization.

426294492624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985855 (or 985843 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 426294492624 in words is "four hundred twenty-six billion, two hundred ninety-four million, four hundred ninety-two thousand, six hundred twenty-four".