4400800000 has 108 divisors (see below), whose sum is σ = 10981804932. Its totient is φ = 1760000000.

The previous prime is 4400799989. The next prime is 4400800003. The reversal of 4400800000 is 80044.

It can be written as a sum of positive squares in 6 ways, for example, as 2330185984 + 2070614016 = 48272^2 + 45504^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4400800003) by changing a digit.

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, 797250 + ... + 802750.

It is an arithmetic number, because the mean of its divisors is an integer number (101683379).

Almost surely, 2^4400800000 is an apocalyptic number.

4400800000 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 4400800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490902466).

4400800000 is an abundant number, since it is smaller than the sum of its proper divisors (6581004932).

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

4400800000 is an frugal number, since it uses more digits than its factorization.

4400800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4400800000 is about 66338.5257599232. The cubic root of 4400800000 is about 1638.7418468522.

Adding to 4400800000 its reverse (80044), we get a palindrome (4400880044).

The spelling of 4400800000 in words is "four billion, four hundred million, eight hundred thousand".