4404400088000 has 224 divisors, whose sum is σ = 12416444771328. Its totient is φ = 1531964544000.

The previous prime is 4404400087999. The next prime is 4404400088027. The reversal of 4404400088000 is 8800044044.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935957 + ... + 3112043.

Almost surely, 2^{4404400088000} is an apocalyptic number.

4404400088000 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 4404400088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208222385664).

4404400088000 is an abundant number, since it is smaller than the sum of its proper divisors (8012044683328).

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

4404400088000 is a wasteful number, since it uses less digits than its factorization.

4404400088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176148 (or 2176128 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 4404400088000 in words is "four trillion, four hundred four billion, four hundred million, eighty-eight thousand".