404408044000 has 96 divisors (see below), whose sum is σ = 994407103872. Its totient is φ = 161636800000.

The previous prime is 404408043997. The next prime is 404408044057. The reversal of 404408044000 is 440804404.

It is a self number, because there is not a number n which added to its sum of digits gives 404408044000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5165145 + ... + 5242855.

It is an arithmetic number, because the mean of its divisors is an integer number (10358407332).

Almost surely, 2^404408044000 is an apocalyptic number.

404408044000 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 404408044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497203551936).

404408044000 is an abundant number, since it is smaller than the sum of its proper divisors (589999059872).

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

404408044000 is a wasteful number, since it uses less digits than its factorization.

404408044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79037 (or 79019 counting only the distinct ones).

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

Adding to 404408044000 its reverse (440804404), we get a palindrome (404848848404).

The spelling of 404408044000 in words is "four hundred four billion, four hundred eight million, forty-four thousand".