4480008800 has 72 divisors (see below), whose sum is σ = 11002639536. Its totient is φ = 1781219840.

The previous prime is 4480008791. The next prime is 4480008817. The reversal of 4480008800 is 88000844.

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116834 + ... + 150366.

It is an arithmetic number, because the mean of its divisors is an integer number (152814438).

Almost surely, 2^4480008800 is an apocalyptic number.

4480008800 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 4480008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501319768).

4480008800 is an abundant number, since it is smaller than the sum of its proper divisors (6522630736).

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

4480008800 is a wasteful number, since it uses less digits than its factorization.

4480008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33720 (or 33707 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4480008800 is about 66932.8678602673. The cubic root of 4480008800 is about 1648.5151993070.

The spelling of 4480008800 in words is "four billion, four hundred eighty million, eight thousand, eight hundred".