10444312032 has 288 divisors, whose sum is σ = 36317756160. Its totient is φ = 2552709120.

The previous prime is 10444312031. The next prime is 10444312033. The reversal of 10444312032 is 23021344401.

10444312032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10444312031) and next prime (10444312033).

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 = 10444311993 and 10444312011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444312031) 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 47 ways as a sum of consecutive naturals, for example, 2133844 + ... + 2138732.

It is an arithmetic number, because the mean of its divisors is an integer number (126103320).

Almost surely, 2^10444312032 is an apocalyptic number.

10444312032 is a gapful number since it is divisible by the number (12) 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 10444312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18158878080).

10444312032 is an abundant number, since it is smaller than the sum of its proper divisors (25873444128).

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

10444312032 is a wasteful number, since it uses less digits than its factorization.

10444312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10444312032 its reverse (23021344401), we get a palindrome (33465656433).

The spelling of 10444312032 in words is "ten billion, four hundred forty-four million, three hundred twelve thousand, thirty-two".