4441000080 has 480 divisors, whose sum is σ = 16196463360. Its totient is φ = 1003622400.

The previous prime is 4441000021. The next prime is 4441000097. The reversal of 4441000080 is 800001444.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40743066 + ... + 40743174.

It is an arithmetic number, because the mean of its divisors is an integer number (33742632).

Almost surely, 2^4441000080 is an apocalyptic number.

4441000080 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 4441000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8098231680).

4441000080 is an abundant number, since it is smaller than the sum of its proper divisors (11755463280).

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

4441000080 is a wasteful number, since it uses less digits than its factorization.

4441000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4441000080 is about 66640.8289264172. The cubic root of 4441000080 is about 1643.7165464621.

The spelling of 4441000080 in words is "four billion, four hundred forty-one million, eighty", and thus it is an aban number.