440413300032 has 112 divisors (see below), whose sum is σ = 1170113179200. Its totient is φ = 146194329600.

The previous prime is 440413300007. The next prime is 440413300037. The reversal of 440413300032 is 230003314044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 440413299975 and 440413300011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440413300037) 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 15 ways as a sum of consecutive naturals, for example, 48344694 + ... + 48353802.

It is an arithmetic number, because the mean of its divisors is an integer number (10447439100).

Almost surely, 2^440413300032 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 440413300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585056589600).

440413300032 is an abundant number, since it is smaller than the sum of its proper divisors (729699879168).

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

440413300032 is a wasteful number, since it uses less digits than its factorization.

440413300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10144 (or 10134 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 440413300032 its reverse (230003314044), we get a palindrome (670416614076).

The spelling of 440413300032 in words is "four hundred forty billion, four hundred thirteen million, three hundred thousand, thirty-two".