4484080000800 has 216 divisors, whose sum is σ = 15813456288084. Its totient is φ = 1195643566080.

The previous prime is 4484080000739. The next prime is 4484080000817. The reversal of 4484080000800 is 80000804844.

It can be written as a sum of positive squares in 6 ways, for example, as 25208547984 + 4458871452816 = 158772^2 + 2111604^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102887814 + ... + 102931386.

Almost surely, 2^{4484080000800} is an apocalyptic number.

4484080000800 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 4484080000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906728144042).

4484080000800 is an abundant number, since it is smaller than the sum of its proper divisors (11329376287284).

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

4484080000800 is a wasteful number, since it uses less digits than its factorization.

4484080000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57892 (or 57876 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 4484080000800 in words is "four trillion, four hundred eighty-four billion, eighty million, eight hundred", and thus it is an aban number.