426624001920 has 512 divisors, whose sum is σ = 1567268352000. Its totient is φ = 109548085248.

The previous prime is 426624001883. The next prime is 426624001943. The reversal of 426624001920 is 29100426624.

426624001920 is a `hidden beast` number, since 4 + 2 + 6 + 62 + 400 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234022129 + ... + 234023951.

It is an arithmetic number, because the mean of its divisors is an integer number (3061071000).

Almost surely, 2^426624001920 is an apocalyptic number.

426624001920 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 426624001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783634176000).

426624001920 is an abundant number, since it is smaller than the sum of its proper divisors (1140644350080).

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

426624001920 is a wasteful number, since it uses less digits than its factorization.

426624001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 426624001920 in words is "four hundred twenty-six billion, six hundred twenty-four million, one thousand, nine hundred twenty".