405144969441504 has 96 divisors (see below), whose sum is σ = 1074046139228160. Its totient is φ = 133709861952000.

The previous prime is 405144969441449. The next prime is 405144969441517.

405144969441504 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1544625889 + ... + 1544888159.

It is an arithmetic number, because the mean of its divisors is an integer number (11187980616960).

Almost surely, 2^{405144969441504} is an apocalyptic number.

It is an amenable number.

405144969441504 is an abundant number, since it is smaller than the sum of its proper divisors (668901169786656).

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

405144969441504 is a wasteful number, since it uses less digits than its factorization.

405144969441504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421704 (or 421696 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 405144969441504 in words is "four hundred five trillion, one hundred forty-four billion, nine hundred sixty-nine million, four hundred forty-one thousand, five hundred four".