426408873534072 has 576 divisors, whose sum is σ = 1402413229526400. Its totient is φ = 115388139686400.

The previous prime is 426408873534011. The next prime is 426408873534097. The reversal of 426408873534072 is 270435378804624.

426408873534072 is a `hidden beast` number, since 4 + 2 + 6 + 408 + 8 + 73 + 53 + 40 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39765813303 + ... + 39765824025.

It is an arithmetic number, because the mean of its divisors is an integer number (2434745190150).

Almost surely, 2^{426408873534072} 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 426408873534072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701206614763200).

426408873534072 is an abundant number, since it is smaller than the sum of its proper divisors (976004355992328).

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

426408873534072 is a wasteful number, since it uses less digits than its factorization.

426408873534072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14840 (or 14802 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 426408873534072 in words is "four hundred twenty-six trillion, four hundred eight billion, eight hundred seventy-three million, five hundred thirty-four thousand, seventy-two".