405948800065 has 32 divisors (see below), whose sum is σ = 505945440000. Its totient is φ = 312311962368.

The previous prime is 405948800057. The next prime is 405948800069. The reversal of 405948800065 is 560008849504.

It is a cyclic number.

It is not a de Polignac number, because 405948800065 - 2³ = 405948800057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405948799991 and 405948800018.

It is not an unprimeable number, because it can be changed into a prime (405948800069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86757396 + ... + 86762074.

It is an arithmetic number, because the mean of its divisors is an integer number (15810795000).

Almost surely, 2^405948800065 is an apocalyptic number.

It is an amenable number.

405948800065 is a deficient number, since it is larger than the sum of its proper divisors (99996639935).

405948800065 is a wasteful number, since it uses less digits than its factorization.

405948800065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6969.

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 405948800065 in words is "four hundred five billion, nine hundred forty-eight million, eight hundred thousand, sixty-five".