10442138112 has 480 divisors, whose sum is σ = 37152086400. Its totient is φ = 2833367040.

The previous prime is 10442138087. The next prime is 10442138131. The reversal of 10442138112 is 21183124401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171182562 + ... + 171182622.

It is an arithmetic number, because the mean of its divisors is an integer number (77400180).

Almost surely, 2^10442138112 is an apocalyptic number.

10442138112 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 10442138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18576043200).

10442138112 is an abundant number, since it is smaller than the sum of its proper divisors (26709948288).

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

10442138112 is an frugal number, since it uses more digits than its factorization.

10442138112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10442138112 in words is "ten billion, four hundred forty-two million, one hundred thirty-eight thousand, one hundred twelve".