10444222343241 has 48 divisors (see below), whose sum is σ = 15162277083408. Its totient is φ = 6927777792000.

The previous prime is 10444222343167. The next prime is 10444222343249. The reversal of 10444222343241 is 14234322244401.

10444222343241 is a `hidden beast` number, since 10 + 4 + 4 + 42 + 22 + 343 + 241 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1472873504400 + 8971348838841 = 1213620^2 + 2995221^2 .

It is not a de Polignac number, because 10444222343241 - 2¹⁰ = 10444222342217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10444222343196 and 10444222343205.

It is not an unprimeable number, because it can be changed into a prime (10444222343249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2175424041 + ... + 2175428841.

It is an arithmetic number, because the mean of its divisors is an integer number (315880772571).

Almost surely, 2^{10444222343241} is an apocalyptic number.

It is an amenable number.

10444222343241 is a deficient number, since it is larger than the sum of its proper divisors (4718054740167).

10444222343241 is a wasteful number, since it uses less digits than its factorization.

10444222343241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 6679 counting only the distinct ones).

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

Adding to 10444222343241 its reverse (14234322244401), we get a palindrome (24678544587642).

The spelling of 10444222343241 in words is "ten trillion, four hundred forty-four billion, two hundred twenty-two million, three hundred forty-three thousand, two hundred forty-one".