12442043232144 has 240 divisors, whose sum is σ = 35985533584000. Its totient is φ = 4010560210944.

The previous prime is 12442043232139. The next prime is 12442043232209. The reversal of 12442043232144 is 44123234024421.

12442043232144 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 2 + 0 + 432 + 3 + 214 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12442043232099 and 12442043232108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944217684 + ... + 944230860.

Almost surely, 2^{12442043232144} 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 12442043232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992766792000).

12442043232144 is an abundant number, since it is smaller than the sum of its proper divisors (23543490351856).

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

12442043232144 is a wasteful number, since it uses less digits than its factorization.

12442043232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14742 (or 14733 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 12442043232144 its reverse (44123234024421), we get a palindrome (56565277256565).

The spelling of 12442043232144 in words is "twelve trillion, four hundred forty-two billion, forty-three million, two hundred thirty-two thousand, one hundred forty-four".