440441120 has 96 divisors (see below), whose sum is σ = 1205705088. Its totient is φ = 148912128.

The previous prime is 440441119. The next prime is 440441137. The reversal of 440441120 is 21144044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 440441092 and 440441101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79067 + ... + 84453.

It is an arithmetic number, because the mean of its divisors is an integer number (12559428).

Almost surely, 2^440441120 is an apocalyptic number.

440441120 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 440441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602852544).

440441120 is an abundant number, since it is smaller than the sum of its proper divisors (765263968).

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

440441120 is a wasteful number, since it uses less digits than its factorization.

440441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 440441120 is about 20986.6891147699. The cubic root of 440441120 is about 760.8445827723.

Adding to 440441120 its reverse (21144044), we get a palindrome (461585164).

The spelling of 440441120 in words is "four hundred forty million, four hundred forty-one thousand, one hundred twenty".