409044415584 has 576 divisors, whose sum is σ = 1340532135936. Its totient is φ = 108636143616.

The previous prime is 409044415579. The next prime is 409044415589. The reversal of 409044415584 is 485514440904.

It is an interprime number because it is at equal distance from previous prime (409044415579) and next prime (409044415589).

It is a super-2 number, since 2×409044415584² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409044415589) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1306851012 + ... + 1306851324.

It is an arithmetic number, because the mean of its divisors is an integer number (2327312736).

Almost surely, 2^409044415584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409044415584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670266067968).

409044415584 is an abundant number, since it is smaller than the sum of its proper divisors (931487720352).

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

409044415584 is a wasteful number, since it uses less digits than its factorization.

409044415584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 409044415584 in words is "four hundred nine billion, forty-four million, four hundred fifteen thousand, five hundred eighty-four".