426509936640 has 384 divisors, whose sum is σ = 1518701184000. Its totient is φ = 113541709824.

The previous prime is 426509936639. The next prime is 426509936653. The reversal of 426509936640 is 46639905624.

426509936640 is a `hidden beast` number, since 4 + 2 + 6 + 509 + 93 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242472081 + ... + 242473839.

It is an arithmetic number, because the mean of its divisors is an integer number (3954951000).

Almost surely, 2^426509936640 is an apocalyptic number.

426509936640 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 426509936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759350592000).

426509936640 is an abundant number, since it is smaller than the sum of its proper divisors (1092191247360).

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

426509936640 is a wasteful number, since it uses less digits than its factorization.

426509936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 426509936640 in words is "four hundred twenty-six billion, five hundred nine million, nine hundred thirty-six thousand, six hundred forty".