405540002664 has 48 divisors (see below), whose sum is σ = 1106239243200. Its totient is φ = 134207479584.

The previous prime is 405540002599. The next prime is 405540002671. The reversal of 405540002664 is 466200045504.

405540002664 is a `hidden beast` number, since 40 + 554 + 0 + 0 + 0 + 2 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20250784 + ... + 20270799.

It is an arithmetic number, because the mean of its divisors is an integer number (23046650900).

Almost surely, 2^405540002664 is an apocalyptic number.

It is an amenable number.

405540002664 is an abundant number, since it is smaller than the sum of its proper divisors (700699240536).

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

405540002664 is a wasteful number, since it uses less digits than its factorization.

405540002664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40521734 (or 40521727 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 405540002664 in words is "four hundred five billion, five hundred forty million, two thousand, six hundred sixty-four".