4044120 has 64 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 1060224.

The previous prime is 4044077. The next prime is 4044179. The reversal of 4044120 is 214404.

It is a Cunningham number, because it is equal to 2011²-1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4044120.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7789 + ... + 8291.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 2^4044120 is an apocalyptic number.

4044120 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 4044120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

4044120 is an abundant number, since it is smaller than the sum of its proper divisors (8293800).

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

4044120 is a wasteful number, since it uses less digits than its factorization.

4044120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4044120 is about 2010.9997513675. Note that the first 3 decimals coincide. The cubic root of 4044120 is about 159.3216068742.

Adding to 4044120 its reverse (214404), we get a palindrome (4258524).

The spelling of 4044120 in words is "four million, forty-four thousand, one hundred twenty".