405614860641 has 9 divisors (see below), whose sum is σ = 585890891859. Its totient is φ = 270408633336.

The previous prime is 405614860627. The next prime is 405614860643. The reversal of 405614860641 is 146068416504.

The square root of 405614860641 is 636879.

It is a perfect power (a square), and thus also a powerful number.

405614860641 is a `hidden beast` number, since 4 + 0 + 561 + 4 + 86 + 0 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 264386214225 + 141228646416 = 514185^2 + 375804^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 405614860641 - 2⁷ = 405614860513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405614860643) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1804491 + ... + 2016783.

Almost surely, 2^405614860641 is an apocalyptic number.

405614860641 is the 636879-th square number.

405614860641 is the 318440-th centered octagonal number.

It is an amenable number.

405614860641 is a deficient number, since it is larger than the sum of its proper divisors (180276031218).

405614860641 is an frugal number, since it uses more digits than its factorization.

405614860641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424592 (or 212296 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 405614860641 in words is "four hundred five billion, six hundred fourteen million, eight hundred sixty thousand, six hundred forty-one".