426239199360 has 1152 divisors, whose sum is σ = 1729666224000. Its totient is φ = 96291127296.

The previous prime is 426239199359. The next prime is 426239199367. The reversal of 426239199360 is 63991932624.

426239199360 is a `hidden beast` number, since 4 + 2 + 62 + 39 + 199 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 426239199297 and 426239199306.

It is not an unprimeable number, because it can be changed into a prime (426239199367) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 711584341 + ... + 711584939.

It is an arithmetic number, because the mean of its divisors is an integer number (1501446375).

Almost surely, 2^426239199360 is an apocalyptic number.

426239199360 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 426239199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864833112000).

426239199360 is an abundant number, since it is smaller than the sum of its proper divisors (1303427024640).

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

426239199360 is a wasteful number, since it uses less digits than its factorization.

426239199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 426239199360 in words is "four hundred twenty-six billion, two hundred thirty-nine million, one hundred ninety-nine thousand, three hundred sixty".