426559180800 has 624 divisors, whose sum is σ = 1500612168960. Its totient is φ = 106598891520.

The previous prime is 426559180799. The next prime is 426559180841. The reversal of 426559180800 is 8081955624.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 426559180800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624537259 + ... + 624537941.

Almost surely, 2^426559180800 is an apocalyptic number.

426559180800 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 426559180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750306084480).

426559180800 is an abundant number, since it is smaller than the sum of its proper divisors (1074052988160).

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

426559180800 is a wasteful number, since it uses less digits than its factorization.

426559180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 426559180800 in words is "four hundred twenty-six billion, five hundred fifty-nine million, one hundred eighty thousand, eight hundred".