4400008800 has 144 divisors (see below), whose sum is σ = 15624124992. Its totient is φ = 1066662400.

The previous prime is 4400008793. The next prime is 4400008801. The reversal of 4400008800 is 88000044.

It is a super-3 number, since 3×4400008800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400008801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56934 + ... + 109733.

It is an arithmetic number, because the mean of its divisors is an integer number (108500868).

Almost surely, 2^4400008800 is an apocalyptic number.

4400008800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400008800 is an abundant number, since it is smaller than the sum of its proper divisors (11224116192).

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

4400008800 is a wasteful number, since it uses less digits than its factorization.

4400008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166701 (or 166688 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4400008800 is about 66332.5621395706. The cubic root of 4400008800 is about 1638.6436336289.

Adding to 4400008800 its reverse (88000044), we get a palindrome (4488008844).

The spelling of 4400008800 in words is "four billion, four hundred million, eight thousand, eight hundred".