426055251600 has 1080 divisors, whose sum is σ = 1721203585920. Its totient is φ = 96671232000.

The previous prime is 426055251577. The next prime is 426055251617. The reversal of 426055251600 is 6152550624.

426055251600 is a `hidden beast` number, since 4 + 26 + 0 + 5 + 5 + 25 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1572159465 + ... + 1572159735.

It is an arithmetic number, because the mean of its divisors is an integer number (1593707024).

Almost surely, 2^426055251600 is an apocalyptic number.

426055251600 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 426055251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860601792960).

426055251600 is an abundant number, since it is smaller than the sum of its proper divisors (1295148334320).

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

426055251600 is a wasteful number, since it uses less digits than its factorization.

426055251600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 426055251600 in words is "four hundred twenty-six billion, fifty-five million, two hundred fifty-one thousand, six hundred".