8800004400 has 120 divisors (see below), whose sum is σ = 30752061504. Its totient is φ = 2133331200.

The previous prime is 8800004357. The next prime is 8800004417. The reversal of 8800004400 is 44000088.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×8800004400³ (a number of 31 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320134 + ... + 346533.

Almost surely, 2^8800004400 is an apocalyptic number.

8800004400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8800004400 is an abundant number, since it is smaller than the sum of its proper divisors (21952057104).

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

8800004400 is a wasteful number, since it uses less digits than its factorization.

8800004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666699 (or 666688 counting only the distinct ones).

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

The square root of 8800004400 is about 93808.3386485445. The cubic root of 8800004400 is about 2064.5605750060.

Adding to 8800004400 its reverse (44000088), we get a palindrome (8844004488).

The spelling of 8800004400 in words is "eight billion, eight hundred million, four thousand, four hundred".