4441128480 has 192 divisors, whose sum is σ = 15719961600. Its totient is φ = 1170892800.

The previous prime is 4441128449. The next prime is 4441128491. The reversal of 4441128480 is 848211444.

It is a super-2 number, since 2×4441128480² = 39447244351734220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378705 + ... + 390255.

It is an arithmetic number, because the mean of its divisors is an integer number (81874800).

Almost surely, 2^4441128480 is an apocalyptic number.

4441128480 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 4441128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859980800).

4441128480 is an abundant number, since it is smaller than the sum of its proper divisors (11278833120).

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

4441128480 is a wasteful number, since it uses less digits than its factorization.

4441128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11664 (or 11650 counting only the distinct ones).

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

The square root of 4441128480 is about 66641.7922928248. The cubic root of 4441128480 is about 1643.7323875765.

The spelling of 4441128480 in words is "four billion, four hundred forty-one million, one hundred twenty-eight thousand, four hundred eighty".