426322855994112 has 1728 divisors, whose sum is σ = 1620551028096000. Its totient is φ = 104560843161600.

The previous prime is 426322855994017. The next prime is 426322855994131. The reversal of 426322855994112 is 211499558223624.

426322855994112 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 2 + 28 + 5 + 599 + 4 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 426322855994112.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56176416814 + ... + 56176424402.

It is an arithmetic number, because the mean of its divisors is an integer number (937818882000).

Almost surely, 2^{426322855994112} is an apocalyptic number.

426322855994112 is a gapful number since it is divisible by the number (42) 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 426322855994112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810275514048000).

426322855994112 is an abundant number, since it is smaller than the sum of its proper divisors (1194228172101888).

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

426322855994112 is a wasteful number, since it uses less digits than its factorization.

426322855994112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7898 (or 7881 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 426322855994112 in words is "four hundred twenty-six trillion, three hundred twenty-two billion, eight hundred fifty-five million, nine hundred ninety-four thousand, one hundred twelve".