409958859904 has 64 divisors (see below), whose sum is σ = 891144607680. Its totient is φ = 186306688000.

The previous prime is 409958859883. The next prime is 409958859929.

409958859904 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7507002 + ... + 7561414.

It is an arithmetic number, because the mean of its divisors is an integer number (13924134495).

Almost surely, 2^409958859904 is an apocalyptic number.

409958859904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

409958859904 is an abundant number, since it is smaller than the sum of its proper divisors (481185747776).

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

409958859904 is a wasteful number, since it uses less digits than its factorization.

409958859904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59789 (or 59777 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 70.

The spelling of 409958859904 in words is "four hundred nine billion, nine hundred fifty-eight million, eight hundred fifty-nine thousand, nine hundred four".