14442122124441 has 24 divisors (see below), whose sum is σ = 22991894531424. Its totient is φ = 8662566216960.

The previous prime is 14442122124433. The next prime is 14442122124449.

14442122124441 is a `hidden beast` number, since 1 + 4 + 4 + 421 + 221 + 2 + 4 + 4 + 4 + 1 = 666.

14442122124441 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (14442122124433) and next prime (14442122124449).

It is not a de Polignac number, because 14442122124441 - 2³ = 14442122124433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14442122124396 and 14442122124405.

It is not an unprimeable number, because it can be changed into a prime (14442122124449) 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, 751949271 + ... + 751968476.

It is an arithmetic number, because the mean of its divisors is an integer number (957995605476).

Almost surely, 2^{14442122124441} is an apocalyptic number.

14442122124441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14442122124441 is a deficient number, since it is larger than the sum of its proper divisors (8549772406983).

14442122124441 is a wasteful number, since it uses less digits than its factorization.

14442122124441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503917861 (or 1503917858 counting only the distinct ones).

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

It can be divided in two parts, 1444212 and 2124441, that added together give a palindrome (3568653).

The spelling of 14442122124441 in words is "fourteen trillion, four hundred forty-two billion, one hundred twenty-two million, one hundred twenty-four thousand, four hundred forty-one".