426588392160 has 960 divisors, whose sum is σ = 1818689241600. Its totient is φ = 91989209088.

The previous prime is 426588392149. The next prime is 426588392207. The reversal of 426588392160 is 61293885624.

426588392160 is a `hidden beast` number, since 4 + 2 + 6 + 588 + 39 + 21 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 426588392097 and 426588392106.

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 159 ways as a sum of consecutive naturals, for example, 653274394 + ... + 653275046.

It is an arithmetic number, because the mean of its divisors is an integer number (1894467960).

Almost surely, 2^426588392160 is an apocalyptic number.

426588392160 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 426588392160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909344620800).

426588392160 is an abundant number, since it is smaller than the sum of its proper divisors (1392100849440).

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

426588392160 is a wasteful number, since it uses less digits than its factorization.

426588392160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 426588392160 in words is "four hundred twenty-six billion, five hundred eighty-eight million, three hundred ninety-two thousand, one hundred sixty".