4484080800 has 216 divisors, whose sum is σ = 15862539420. Its totient is φ = 1191936000.

The previous prime is 4484080753. The next prime is 4484080817. The reversal of 4484080800 is 80804844.

It can be written as a sum of positive squares in 6 ways, for example, as 2629228176 + 1854852624 = 51276^2 + 43068^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2800000 + ... + 2801600.

Almost surely, 2^4484080800 is an apocalyptic number.

4484080800 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 4484080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931269710).

4484080800 is an abundant number, since it is smaller than the sum of its proper divisors (11378458620).

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

4484080800 is a wasteful number, since it uses less digits than its factorization.

4484080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4484080800 is about 66963.2794895829. The cubic root of 4484080800 is about 1649.0145079331.

The spelling of 4484080800 in words is "four billion, four hundred eighty-four million, eighty thousand, eight hundred".