564140414401 has 8 divisors (see below), whose sum is σ = 575355457440. Its totient is φ = 552980482848.

The previous prime is 564140414359. The next prime is 564140414413. The reversal of 564140414401 is 104414041465.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 564140414401 - 2²⁵ = 564106859969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564140414441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13757196 + ... + 13798141.

It is an arithmetic number, because the mean of its divisors is an integer number (71919432180).

Almost surely, 2^564140414401 is an apocalyptic number.

It is an amenable number.

564140414401 is a deficient number, since it is larger than the sum of its proper divisors (11215043039).

564140414401 is a wasteful number, since it uses less digits than its factorization.

564140414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27555743.

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 564140414401 its reverse (104414041465), we get a palindrome (668554455866).

The spelling of 564140414401 in words is "five hundred sixty-four billion, one hundred forty million, four hundred fourteen thousand, four hundred one".