4400608000 has 72 divisors (see below), whose sum is σ = 10962544320. Its totient is φ = 1760230400.

The previous prime is 4400607989. The next prime is 4400608001. The reversal of 4400608000 is 8060044.

It is not an unprimeable number, because it can be changed into a prime (4400608001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36760 + ... + 100759.

It is an arithmetic number, because the mean of its divisors is an integer number (152257560).

Almost surely, 2^4400608000 is an apocalyptic number.

4400608000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400608000 is an abundant number, since it is smaller than the sum of its proper divisors (6561936320).

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

4400608000 is an equidigital number, since it uses as much as digits as its factorization.

4400608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137550 (or 137526 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4400608000 is about 66337.0786212357. The cubic root of 4400608000 is about 1638.7180145936.

Adding to 4400608000 its reverse (8060044), we get a palindrome (4408668044).

The spelling of 4400608000 in words is "four billion, four hundred million, six hundred eight thousand".