10031444320 has 144 divisors (see below), whose sum is σ = 25609031280. Its totient is φ = 3711524864.

The previous prime is 10031444309. The next prime is 10031444321. The reversal of 10031444320 is 2344413001.

10031444320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10031444291 and 10031444300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031444321) 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 23 ways as a sum of consecutive naturals, for example, 2726322 + ... + 2729998.

It is an arithmetic number, because the mean of its divisors is an integer number (177840495).

Almost surely, 2^10031444320 is an apocalyptic number.

10031444320 is a gapful number since it is divisible by the number (10) 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 10031444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804515640).

10031444320 is an abundant number, since it is smaller than the sum of its proper divisors (15577586960).

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

10031444320 is a wasteful number, since it uses less digits than its factorization.

10031444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10031444320 its reverse (2344413001), we get a palindrome (12375857321).

The spelling of 10031444320 in words is "ten billion, thirty-one million, four hundred forty-four thousand, three hundred twenty".