4400441760 has 192 divisors, whose sum is σ = 16284965760. Its totient is φ = 984698880.

The previous prime is 4400441741. The next prime is 4400441761. The reversal of 4400441760 is 671440044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4400441761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36586 + ... + 100694.

It is an arithmetic number, because the mean of its divisors is an integer number (84817530).

Almost surely, 2^4400441760 is an apocalyptic number.

4400441760 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 4400441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142482880).

4400441760 is an abundant number, since it is smaller than the sum of its proper divisors (11884524000).

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

4400441760 is a wasteful number, since it uses less digits than its factorization.

4400441760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64151 (or 64143 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4400441760 is about 66335.8256148214. The cubic root of 4400441760 is about 1638.6973792698.

The spelling of 4400441760 in words is "four billion, four hundred million, four hundred forty-one thousand, seven hundred sixty".