440324313012 has 72 divisors (see below), whose sum is σ = 1116450808200. Its totient is φ = 146325639168.

The previous prime is 440324312951. The next prime is 440324313019. The reversal of 440324313012 is 210313423044.

440324313012 is a `hidden beast` number, since 4 + 4 + 0 + 324 + 31 + 301 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67936337316 + 372387975696 = 260646^2 + 610236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440324313019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33841164 + ... + 33854172.

It is an arithmetic number, because the mean of its divisors is an integer number (15506261225).

Almost surely, 2^440324313012 is an apocalyptic number.

It is an amenable number.

440324313012 is an abundant number, since it is smaller than the sum of its proper divisors (676126495188).

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

440324313012 is a wasteful number, since it uses less digits than its factorization.

440324313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15825 (or 15820 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 440324313012 its reverse (210313423044), we get a palindrome (650637736056).

The spelling of 440324313012 in words is "four hundred forty billion, three hundred twenty-four million, three hundred thirteen thousand, twelve".