426770372800 has 336 divisors, whose sum is σ = 1129728764160. Its totient is φ = 158262128640.

The previous prime is 426770372783. The next prime is 426770372827. The reversal of 426770372800 is 8273077624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 516045987 + ... + 516046813.

Almost surely, 2^426770372800 is an apocalyptic number.

426770372800 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 426770372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564864382080).

426770372800 is an abundant number, since it is smaller than the sum of its proper divisors (702958391360).

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

426770372800 is a wasteful number, since it uses less digits than its factorization.

426770372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 46.

The spelling of 426770372800 in words is "four hundred twenty-six billion, seven hundred seventy million, three hundred seventy-two thousand, eight hundred".