440109120 has 224 divisors, whose sum is σ = 1548481536. Its totient is φ = 105011200.

The previous prime is 440109119. The next prime is 440109127. The reversal of 440109120 is 21901044.

It is not an unprimeable number, because it can be changed into a prime (440109127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749467 + ... + 750053.

It is an arithmetic number, because the mean of its divisors is an integer number (6912864).

Almost surely, 2^440109120 is an apocalyptic number.

440109120 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 440109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774240768).

440109120 is an abundant number, since it is smaller than the sum of its proper divisors (1108372416).

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

440109120 is a wasteful number, since it uses less digits than its factorization.

440109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 440109120 is about 20978.7778481016. Note that the first 3 decimals coincide. The cubic root of 440109120 is about 760.6533624360.

The spelling of 440109120 in words is "four hundred forty million, one hundred nine thousand, one hundred twenty".