4408000800800 has 36 divisors (see below), whose sum is σ = 10761031956906. Its totient is φ = 1763200320000.

The previous prime is 4408000800779. The next prime is 4408000800809. The reversal of 4408000800800 is 80080008044.

It can be written as a sum of positive squares in 3 ways, for example, as 4210392101776 + 197608699024 = 2051924^2 + 444532^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4408000800809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2754999701 + ... + 2755001300.

Almost surely, 2^{4408000800800} is an apocalyptic number.

4408000800800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4408000800800 is an abundant number, since it is smaller than the sum of its proper divisors (6353031156106).

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

4408000800800 is a wasteful number, since it uses less digits than its factorization.

4408000800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510001021 (or 5510001008 counting only the distinct ones).

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

Adding to 4408000800800 its reverse (80080008044), we get a palindrome (4488080808844).

The spelling of 4408000800800 in words is "four trillion, four hundred eight billion, eight hundred thousand, eight hundred".