426341560320 has 832 divisors, whose sum is σ = 1648663511040. Its totient is φ = 103896317952.

The previous prime is 426341560303. The next prime is 426341560349. The reversal of 426341560320 is 23065143624.

426341560320 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 41 + 5 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 912936727 + ... + 912937193.

It is an arithmetic number, because the mean of its divisors is an integer number (1981566720).

Almost surely, 2^426341560320 is an apocalyptic number.

426341560320 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 426341560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824331755520).

426341560320 is an abundant number, since it is smaller than the sum of its proper divisors (1222321950720).

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

426341560320 is a wasteful number, since it uses less digits than its factorization.

426341560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 426341560320 in words is "four hundred twenty-six billion, three hundred forty-one million, five hundred sixty thousand, three hundred twenty".