4440004000800 has 72 divisors (see below), whose sum is σ = 14452213030416. Its totient is φ = 1184001066240.

The previous prime is 4440004000769. The next prime is 4440004000819. The reversal of 4440004000800 is 80004000444.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 924998434 + ... + 925003233.

It is an arithmetic number, because the mean of its divisors is an integer number (200725180978).

Almost surely, 2^{4440004000800} is an apocalyptic number.

4440004000800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440004000800 is an abundant number, since it is smaller than the sum of its proper divisors (10012209029616).

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

4440004000800 is a wasteful number, since it uses less digits than its factorization.

4440004000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850001690 (or 1850001677 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 4440004000800 in words is "four trillion, four hundred forty billion, four million, eight hundred", and thus it is an aban number.