404440804800 has 252 divisors, whose sum is σ = 1438070226216. Its totient is φ = 107806464000.

The previous prime is 404440804799. The next prime is 404440804811. The reversal of 404440804800 is 8408044404.

It is a happy number.

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49920750 + ... + 49928850.

Almost surely, 2^404440804800 is an apocalyptic number.

404440804800 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 404440804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719035113108).

404440804800 is an abundant number, since it is smaller than the sum of its proper divisors (1033629421416).

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

404440804800 is a wasteful number, since it uses less digits than its factorization.

404440804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11596 (or 11578 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 404440804800 in words is "four hundred four billion, four hundred forty million, eight hundred four thousand, eight hundred".