404440404400 has 120 divisors (see below), whose sum is σ = 999827167680. Its totient is φ = 157129969920.

The previous prime is 404440404397. The next prime is 404440404419. The reversal of 404440404400 is 4404044404.

It is a super-2 number, since 2×404440404400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3013119 + ... + 3144481.

It is an arithmetic number, because the mean of its divisors is an integer number (8331893064).

Almost surely, 2^404440404400 is an apocalyptic number.

404440404400 is a gapful number since it is divisible by the number (40) 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 404440404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499913583840).

404440404400 is an abundant number, since it is smaller than the sum of its proper divisors (595386763280).

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

404440404400 is a wasteful number, since it uses less digits than its factorization.

404440404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131603 (or 131592 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 404440404400 its reverse (4404044404), we get a palindrome (408844448804).

The spelling of 404440404400 in words is "four hundred four billion, four hundred forty million, four hundred four thousand, four hundred".