426093628800 has 768 divisors, whose sum is σ = 1645749665280. Its totient is φ = 94887936000.

The previous prime is 426093628799. The next prime is 426093628859. The reversal of 426093628800 is 8826390624.

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 426093628800.

It is a congruent number.

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, 454741932 + ... + 454742868.

It is an arithmetic number, because the mean of its divisors is an integer number (2142903210).

Almost surely, 2^426093628800 is an apocalyptic number.

426093628800 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 426093628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822874832640).

426093628800 is an abundant number, since it is smaller than the sum of its proper divisors (1219656036480).

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

426093628800 is a wasteful number, since it uses less digits than its factorization.

426093628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 426093628800 in words is "four hundred twenty-six billion, ninety-three million, six hundred twenty-eight thousand, eight hundred".