14242144124241 has 24 divisors (see below), whose sum is σ = 22442412152160. Its totient is φ = 8631508017600.

The previous prime is 14242144124237. The next prime is 14242144124251.

14242144124241 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 214 + 4 + 12 + 424 + 1 = 666.

14242144124241 is nontrivially palindromic in base 10.

14242144124241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14242144124241 - 2² = 14242144124237 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14242144124196 and 14242144124205.

It is not an unprimeable number, because it can be changed into a prime (14242144124251) 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, 8901861 + ... + 10379181.

It is an arithmetic number, because the mean of its divisors is an integer number (935100506340).

Almost surely, 2^{14242144124241} is an apocalyptic number.

14242144124241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14242144124241 is a deficient number, since it is larger than the sum of its proper divisors (8200268027919).

14242144124241 is a wasteful number, since it uses less digits than its factorization.

14242144124241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574717 (or 1574714 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 1424214 and 4124241, that added together give a palindrome (5548455).

The spelling of 14242144124241 in words is "fourteen trillion, two hundred forty-two billion, one hundred forty-four million, one hundred twenty-four thousand, two hundred forty-one".