409317713904 has 120 divisors (see below), whose sum is σ = 1178641812096. Its totient is φ = 122288566400.

The previous prime is 409317713891. The next prime is 409317713939.

409317713904 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83934 + ... + 908669.

Almost surely, 2^409317713904 is an apocalyptic number.

409317713904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409317713904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589320906048).

409317713904 is an abundant number, since it is smaller than the sum of its proper divisors (769324098192).

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

409317713904 is a wasteful number, since it uses less digits than its factorization.

409317713904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992707 (or 992690 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 409317713904 in words is "four hundred nine billion, three hundred seventeen million, seven hundred thirteen thousand, nine hundred four".