564426442440 has 384 divisors, whose sum is σ = 2110729420800. Its totient is φ = 128135416320.

The previous prime is 564426442409. The next prime is 564426442441. The reversal of 564426442440 is 44244624465.

564426442440 is a `hidden beast` number, since 564 + 4 + 2 + 6 + 4 + 42 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (564426442441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320878281 + ... + 320880039.

It is an arithmetic number, because the mean of its divisors is an integer number (5496691200).

Almost surely, 2^564426442440 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 564426442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055364710400).

564426442440 is an abundant number, since it is smaller than the sum of its proper divisors (1546302978360).

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

564426442440 is a wasteful number, since it uses less digits than its factorization.

564426442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 564426442440 in words is "five hundred sixty-four billion, four hundred twenty-six million, four hundred forty-two thousand, four hundred forty".