10444442112 has 240 divisors, whose sum is σ = 32887895040. Its totient is φ = 3171557376.

The previous prime is 10444442053. The next prime is 10444442119. The reversal of 10444442112 is 21124444401.

It is a happy number.

10444442112 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 444 + 211 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444442119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4731313 + ... + 4733519.

It is an arithmetic number, because the mean of its divisors is an integer number (137032896).

Almost surely, 2^10444442112 is an apocalyptic number.

10444442112 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 10444442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443947520).

10444442112 is an abundant number, since it is smaller than the sum of its proper divisors (22443452928).

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

10444442112 is a wasteful number, since it uses less digits than its factorization.

10444442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 10444442112 its reverse (21124444401), we get a palindrome (31568886513).

The spelling of 10444442112 in words is "ten billion, four hundred forty-four million, four hundred forty-two thousand, one hundred twelve".