426625304000 has 224 divisors, whose sum is σ = 1208525660160. Its totient is φ = 146143872000.

The previous prime is 426625303997. The next prime is 426625304069. The reversal of 426625304000 is 403526624.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 31 ways as a sum of consecutive naturals, for example, 82373411 + ... + 82378589.

It is an arithmetic number, because the mean of its divisors is an integer number (5395203840).

Almost surely, 2^426625304000 is an apocalyptic number.

426625304000 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 426625304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604262830080).

426625304000 is an abundant number, since it is smaller than the sum of its proper divisors (781900356160).

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

426625304000 is a wasteful number, since it uses less digits than its factorization.

426625304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 6664 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 426625304000 in words is "four hundred twenty-six billion, six hundred twenty-five million, three hundred four thousand".