404444408000 has 224 divisors, whose sum is σ = 1015998984000. Its totient is φ = 159470592000.

The previous prime is 404444407981. The next prime is 404444408003. The reversal of 404444408000 is 804444404.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (404444408003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165686780 + ... + 165689220.

It is an arithmetic number, because the mean of its divisors is an integer number (4535709750).

Almost surely, 2^404444408000 is an apocalyptic number.

404444408000 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 404444408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507999492000).

404444408000 is an abundant number, since it is smaller than the sum of its proper divisors (611554576000).

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

404444408000 is a wasteful number, since it uses less digits than its factorization.

404444408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

It can be divided in two parts, 40444 and 4408000, that added together give a palindrome (4448444).

The spelling of 404444408000 in words is "four hundred four billion, four hundred forty-four million, four hundred eight thousand".