426939788400 has 480 divisors, whose sum is σ = 1512581402880. Its totient is φ = 102479708160.

The previous prime is 426939788369. The next prime is 426939788413. The reversal of 426939788400 is 4887939624.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44528407 + ... + 44537993.

It is an arithmetic number, because the mean of its divisors is an integer number (3151211256).

Almost surely, 2^426939788400 is an apocalyptic number.

426939788400 is a gapful number since it is divisible by the number (40) 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 426939788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756290701440).

426939788400 is an abundant number, since it is smaller than the sum of its proper divisors (1085641614480).

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

426939788400 is a wasteful number, since it uses less digits than its factorization.

426939788400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9721 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 426939788400 in words is "four hundred twenty-six billion, nine hundred thirty-nine million, seven hundred eighty-eight thousand, four hundred".