404808408000 has 448 divisors, whose sum is σ = 1487516659200. Its totient is φ = 107780428800.

The previous prime is 404808407999. The next prime is 404808408013. The reversal of 404808408000 is 804808404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204551011 + ... + 204552989.

Almost surely, 2^404808408000 is an apocalyptic number.

404808408000 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 404808408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743758329600).

404808408000 is an abundant number, since it is smaller than the sum of its proper divisors (1082708251200).

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

404808408000 is a wasteful number, since it uses less digits than its factorization.

404808408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 404808408000 in words is "four hundred four billion, eight hundred eight million, four hundred eight thousand".