405505444505504 has 48 divisors (see below), whose sum is σ = 918429549883776. Its totient is φ = 172637133408000.

The previous prime is 405505444505471. The next prime is 405505444505507.

It is a happy number.

405505444505504 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (405505444505507) 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, 5994311087 + ... + 5994378734.

It is an arithmetic number, because the mean of its divisors is an integer number (19133948955912).

Almost surely, 2^{405505444505504} is an apocalyptic number.

It is an amenable number.

405505444505504 is an abundant number, since it is smaller than the sum of its proper divisors (512924105378272).

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

405505444505504 is a wasteful number, since it uses less digits than its factorization.

405505444505504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11988689989 (or 11988689981 counting only the distinct ones).

The product of its (nonzero) digits is 16000000, while the sum is 50.

The spelling of 405505444505504 in words is "four hundred five trillion, five hundred five billion, four hundred forty-four million, five hundred five thousand, five hundred four".