566414013565440 has 1280 divisors, whose sum is σ = 2107788932874240. Its totient is φ = 144040762736640.

The previous prime is 566414013565429. The next prime is 566414013565457. The reversal of 566414013565440 is 44565310414665.

566414013565440 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 1 + 4 + 0 + 135 + 65 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 26957964535 + ... + 26957985545.

It is an arithmetic number, because the mean of its divisors is an integer number (1646710103808).

Almost surely, 2^{566414013565440} 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 566414013565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053894466437120).

566414013565440 is an abundant number, since it is smaller than the sum of its proper divisors (1541374919308800).

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

566414013565440 is a wasteful number, since it uses less digits than its factorization.

566414013565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21290 (or 21268 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 566414013565440 in words is "five hundred sixty-six trillion, four hundred fourteen billion, thirteen million, five hundred sixty-five thousand, four hundred forty".