4441120 has 48 divisors (see below), whose sum is σ = 10763928. Its totient is φ = 1730560.

The previous prime is 4441111. The next prime is 4441133. The reversal of 4441120 is 211444.

It can be written as a sum of positive squares in 4 ways, for example, as 3794704 + 646416 = 1948^2 + 804^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4441094 and 4441103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6222 + ... + 6898.

Almost surely, 2^4441120 is an apocalyptic number.

4441120 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 4441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381964).

4441120 is an abundant number, since it is smaller than the sum of its proper divisors (6322808).

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

4441120 is a wasteful number, since it uses less digits than its factorization.

4441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4441120 is about 2107.3964980516. The cubic root of 4441120 is about 164.3731341381.

Adding to 4441120 its reverse (211444), we get a palindrome (4652564).

The spelling of 4441120 in words is "four million, four hundred forty-one thousand, one hundred twenty".