404480404000 has 96 divisors (see below), whose sum is σ = 998188603776. Its totient is φ = 161079059200.

The previous prime is 404480403991. The next prime is 404480404037. The reversal of 404480404000 is 404084404.

It is a self number, because there is not a number n which added to its sum of digits gives 404480404000.

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 15 ways as a sum of consecutive naturals, for example, 685269 + ... + 1130731.

It is an arithmetic number, because the mean of its divisors is an integer number (10397797956).

Almost surely, 2^404480404000 is an apocalyptic number.

404480404000 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 404480404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499094301888).

404480404000 is an abundant number, since it is smaller than the sum of its proper divisors (593708199776).

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

404480404000 is a wasteful number, since it uses less digits than its factorization.

404480404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445715 (or 445697 counting only the distinct ones).

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

Adding to 404480404000 its reverse (404084404), we get a palindrome (404884488404).

The spelling of 404480404000 in words is "four hundred four billion, four hundred eighty million, four hundred four thousand".