426407095296 has 528 divisors, whose sum is σ = 1552459341888. Its totient is φ = 109707264000.

The previous prime is 426407095267. The next prime is 426407095307. The reversal of 426407095296 is 692590704624.

426407095296 is a `hidden beast` number, since 4 + 2 + 6 + 40 + 70 + 9 + 529 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34378696 + ... + 34391096.

Almost surely, 2^426407095296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426407095296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776229670944).

426407095296 is an abundant number, since it is smaller than the sum of its proper divisors (1126052246592).

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

426407095296 is a wasteful number, since it uses less digits than its factorization.

426407095296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12488 (or 12467 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 426407095296 in words is "four hundred twenty-six billion, four hundred seven million, ninety-five thousand, two hundred ninety-six".