426838582800 has 480 divisors, whose sum is σ = 1737826272000. Its totient is φ = 97475235840.

The previous prime is 426838582799. The next prime is 426838582813. The reversal of 426838582800 is 8285838624.

426838582800 is a `hidden beast` number, since 4 + 26 + 8 + 38 + 582 + 8 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 123755476 + ... + 123758924.

It is an arithmetic number, because the mean of its divisors is an integer number (3620471400).

Almost surely, 2^426838582800 is an apocalyptic number.

426838582800 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 426838582800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868913136000).

426838582800 is an abundant number, since it is smaller than the sum of its proper divisors (1310987689200).

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

426838582800 is a wasteful number, since it uses less digits than its factorization.

426838582800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 426838582800 in words is "four hundred twenty-six billion, eight hundred thirty-eight million, five hundred eighty-two thousand, eight hundred".