426844654992 has 480 divisors, whose sum is σ = 1450591084800. Its totient is φ = 119806138368.

The previous prime is 426844654961. The next prime is 426844655009. The reversal of 426844654992 is 299456448624.

426844654992 is a `hidden beast` number, since 4 + 2 + 6 + 84 + 4 + 6 + 549 + 9 + 2 = 666.

It is a super-3 number, since 3×426844654992³ (a number of 36 digits) contains 333 as substring.

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

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, 298700934 + ... + 298702362.

It is an arithmetic number, because the mean of its divisors is an integer number (3022064760).

Almost surely, 2^426844654992 is an apocalyptic number.

426844654992 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 426844654992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725295542400).

426844654992 is an abundant number, since it is smaller than the sum of its proper divisors (1023746429808).

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

426844654992 is a wasteful number, since it uses less digits than its factorization.

426844654992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1681 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 426844654992 in words is "four hundred twenty-six billion, eight hundred forty-four million, six hundred fifty-four thousand, nine hundred ninety-two".