404483089920 has 1280 divisors, whose sum is σ = 1700051189760. Its totient is φ = 79658090496.

The previous prime is 404483089873. The next prime is 404483089931. The reversal of 404483089920 is 29980384404.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1102133577 + ... + 1102133943.

It is an arithmetic number, because the mean of its divisors is an integer number (1328164992).

Almost surely, 2^404483089920 is an apocalyptic number.

404483089920 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 404483089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850025594880).

404483089920 is an abundant number, since it is smaller than the sum of its proper divisors (1295568099840).

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

404483089920 is a wasteful number, since it uses less digits than its factorization.

404483089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 404483089920 in words is "four hundred four billion, four hundred eighty-three million, eighty-nine thousand, nine hundred twenty".