405103404664 has 64 divisors (see below), whose sum is σ = 871712202240. Its totient is φ = 172889566080.

The previous prime is 405103404649. The next prime is 405103404701. The reversal of 405103404664 is 466404301504.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 73239579 + ... + 73245109.

It is an arithmetic number, because the mean of its divisors is an integer number (13620503160).

Almost surely, 2^405103404664 is an apocalyptic number.

It is an amenable number.

405103404664 is an abundant number, since it is smaller than the sum of its proper divisors (466608797576).

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

405103404664 is a wasteful number, since it uses less digits than its factorization.

405103404664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780 (or 10776 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 405103404664 in words is "four hundred five billion, one hundred three million, four hundred four thousand, six hundred sixty-four".