4404404404400 has 720 divisors, whose sum is σ = 14458263820224. Its totient is φ = 1254528000000.

The previous prime is 4404404404397. The next prime is 4404404404417. The reversal of 4404404404400 is 44044044044.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 444839450 + ... + 444849350.

Almost surely, 2^{4404404404400} is an apocalyptic number.

4404404404400 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 4404404404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229131910112).

4404404404400 is an abundant number, since it is smaller than the sum of its proper divisors (10053859415824).

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

4404404404400 is a wasteful number, since it uses less digits than its factorization.

4404404404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10062 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4404404404400 its reverse (44044044044), we get a palindrome (4448448448444).

4404404404400 divided by its reverse (44044044044) gives a square (100 = 10²).

It can be divided in two parts, 4 and 404404404400, that added together give a palindrome (404404404404).

The spelling of 4404404404400 in words is "four trillion, four hundred four billion, four hundred four million, four hundred four thousand, four hundred".