426829588344 has 128 divisors (see below), whose sum is σ = 1252108704000. Its totient is φ = 134348844672.

The previous prime is 426829588321. The next prime is 426829588373. The reversal of 426829588344 is 443885928624.

426829588344 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 2 + 9 + 588 + 3 + 44 = 666.

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, 1090542 + ... + 1429314.

It is an arithmetic number, because the mean of its divisors is an integer number (9782099250).

Almost surely, 2^426829588344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426829588344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626054352000).

426829588344 is an abundant number, since it is smaller than the sum of its proper divisors (825279115656).

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

426829588344 is a wasteful number, since it uses less digits than its factorization.

426829588344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339114 (or 339104 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 426829588344 in words is "four hundred twenty-six billion, eight hundred twenty-nine million, five hundred eighty-eight thousand, three hundred forty-four".