4488080000 has 80 divisors (see below), whose sum is σ = 11172993810. Its totient is φ = 1795200000.

The previous prime is 4488079987. The next prime is 4488080017. The reversal of 4488080000 is 808844.

It can be written as a sum of positive squares in 5 ways, for example, as 150013504 + 4338066496 = 12248^2 + 65864^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

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 9 ways as a sum of consecutive naturals, for example, 51950 + ... + 108050.

Almost surely, 2^4488080000 is an apocalyptic number.

4488080000 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 4488080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586496905).

4488080000 is an abundant number, since it is smaller than the sum of its proper divisors (6684913810).

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

4488080000 is an frugal number, since it uses more digits than its factorization.

4488080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56135 (or 56108 counting only the distinct ones).

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

The square root of 4488080000 is about 66993.1339765502. The cubic root of 4488080000 is about 1649.5045956860.

Adding to 4488080000 its reverse (808844), we get a palindrome (4488888844).

The spelling of 4488080000 in words is "four billion, four hundred eighty-eight million, eighty thousand".