404004000000 has 504 divisors, whose sum is σ = 1359561972384. Its totient is φ = 106496000000.

The previous prime is 404003999963. The next prime is 404004000011. The reversal of 404004000000 is 400404.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 404004000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1571999872 + ... + 1572000128.

It is an arithmetic number, because the mean of its divisors is an integer number (2697543596).

Almost surely, 2^404004000000 is an apocalyptic number.

404004000000 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 404004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679780986192).

404004000000 is an abundant number, since it is smaller than the sum of its proper divisors (955557972384).

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

404004000000 is an frugal number, since it uses more digits than its factorization.

404004000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 404004000000 its reverse (400404), we get a palindrome (404004400404).

The spelling of 404004000000 in words is "four hundred four billion, four million", and thus it is an aban number.