440012120 has 64 divisors (see below), whose sum is σ = 1034795520. Its totient is φ = 168223104.

The previous prime is 440012119. The next prime is 440012129. The reversal of 440012120 is 21210044.

It is a super-2 number, since 2×440012120² = 387221331493788800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440012095 and 440012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440012129) by changing a digit.

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, 78119 + ... + 83561.

It is an arithmetic number, because the mean of its divisors is an integer number (16168680).

Almost surely, 2^440012120 is an apocalyptic number.

440012120 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 440012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517397760).

440012120 is an abundant number, since it is smaller than the sum of its proper divisors (594783400).

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

440012120 is a wasteful number, since it uses less digits than its factorization.

440012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 440012120 is about 20976.4658605781. The cubic root of 440012120 is about 760.5974756918.

Adding to 440012120 its reverse (21210044), we get a palindrome (461222164).

The spelling of 440012120 in words is "four hundred forty million, twelve thousand, one hundred twenty".