509440044905 has 96 divisors (see below), whose sum is σ = 720429292800. Its totient is φ = 344344985600.

The previous prime is 509440044881. The next prime is 509440044959.

509440044905 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 509440044905 - 2⁸ = 509440044649 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 494121740 + ... + 494122770.

It is an arithmetic number, because the mean of its divisors is an integer number (7504471800).

Almost surely, 2^509440044905 is an apocalyptic number.

509440044905 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

509440044905 is a deficient number, since it is larger than the sum of its proper divisors (210989247895).

509440044905 is a wasteful number, since it uses less digits than its factorization.

509440044905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 509440044905 in words is "five hundred nine billion, four hundred forty million, forty-four thousand, nine hundred five".