444013320432 has 160 divisors (see below), whose sum is σ = 1321672907520. Its totient is φ = 127032053760.

The previous prime is 444013320343. The next prime is 444013320433. The reversal of 444013320432 is 234023310444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 444013320432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444013320433) 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, 2863848 + ... + 3014904.

It is an arithmetic number, because the mean of its divisors is an integer number (8260455672).

Almost surely, 2^444013320432 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 444013320432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660836453760).

444013320432 is an abundant number, since it is smaller than the sum of its proper divisors (877659587088).

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

444013320432 is a wasteful number, since it uses less digits than its factorization.

444013320432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151391 (or 151385 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 444013320432 its reverse (234023310444), we get a palindrome (678036630876).

The spelling of 444013320432 in words is "four hundred forty-four billion, thirteen million, three hundred twenty thousand, four hundred thirty-two".