426222014400 has 3024 divisors, whose sum is σ = 2122843754304. Its totient is φ = 78670725120.

The previous prime is 426222014311. The next prime is 426222014429. The reversal of 426222014400 is 4410222624.

426222014400 is a `hidden beast` number, since 4 + 2 + 622 + 20 + 14 + 4 + 0 + 0 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8041924774 + ... + 8041924826.

It is an arithmetic number, because the mean of its divisors is an integer number (701998596).

Almost surely, 2^426222014400 is an apocalyptic number.

426222014400 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 426222014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061421877152).

426222014400 is an abundant number, since it is smaller than the sum of its proper divisors (1696621739904).

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

426222014400 is a wasteful number, since it uses less digits than its factorization.

426222014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 426222014400 in words is "four hundred twenty-six billion, two hundred twenty-two million, fourteen thousand, four hundred".