440400012 has 96 divisors (see below), whose sum is σ = 1202718720. Its totient is φ = 124208640.

The previous prime is 440399989. The next prime is 440400017. The reversal of 440400012 is 210004044.

It is a junction number, because it is equal to n+sod(n) for n = 440399964 and 440400000.

It is not an unprimeable number, because it can be changed into a prime (440400017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89488 + ... + 94280.

It is an arithmetic number, because the mean of its divisors is an integer number (12528320).

Almost surely, 2^440400012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440400012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601359360).

440400012 is an abundant number, since it is smaller than the sum of its proper divisors (762318708).

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

440400012 is a wasteful number, since it uses less digits than its factorization.

440400012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863 (or 4861 counting only the distinct ones).

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

The square root of 440400012 is about 20985.7097092283. The cubic root of 440400012 is about 760.8209112221.

Adding to 440400012 its reverse (210004044), we get a palindrome (650404056).

The spelling of 440400012 in words is "four hundred forty million, four hundred thousand, twelve".