404004484000 has 384 divisors, whose sum is σ = 1099635264000. Its totient is φ = 144958464000.

The previous prime is 404004483997. The next prime is 404004484021. The reversal of 404004484000 is 484400404.

It is a self number, because there is not a number n which added to its sum of digits gives 404004484000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269515251 + ... + 269516749.

It is an arithmetic number, because the mean of its divisors is an integer number (2863633500).

Almost surely, 2^404004484000 is an apocalyptic number.

404004484000 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 404004484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549817632000).

404004484000 is an abundant number, since it is smaller than the sum of its proper divisors (695630780000).

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

404004484000 is a wasteful number, since it uses less digits than its factorization.

404004484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 404004484000 its reverse (484400404), we get a palindrome (404488884404).

The spelling of 404004484000 in words is "four hundred four billion, four million, four hundred eighty-four thousand".