404003820000 has 480 divisors, whose sum is σ = 1450998831744. Its totient is φ = 97580800000.

The previous prime is 404003819981. The next prime is 404003820043. The reversal of 404003820000 is 28300404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 209219035 + ... + 209220965.

Almost surely, 2^404003820000 is an apocalyptic number.

404003820000 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 404003820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725499415872).

404003820000 is an abundant number, since it is smaller than the sum of its proper divisors (1046995011744).

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

404003820000 is a wasteful number, since it uses less digits than its factorization.

404003820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The spelling of 404003820000 in words is "four hundred four billion, three million, eight hundred twenty thousand".