404004400000 has 288 divisors, whose sum is σ = 1040488795080. Its totient is φ = 156240000000.

The previous prime is 404004399983. The next prime is 404004400021. The reversal of 404004400000 is 4400404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384399475 + ... + 384400525.

Almost surely, 2^404004400000 is an apocalyptic number.

404004400000 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 404004400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520244397540).

404004400000 is an abundant number, since it is smaller than the sum of its proper divisors (636484395080).

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

404004400000 is an frugal number, since it uses more digits than its factorization.

404004400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 404004400000 its reverse (4400404), we get a palindrome (404008800404).

The spelling of 404004400000 in words is "four hundred four billion, four million, four hundred thousand".