14024133142041 has 64 divisors (see below), whose sum is σ = 20955138048000. Its totient is φ = 8270639465280.

The previous prime is 14024133142009. The next prime is 14024133142043.

It is a happy number.

14024133142041 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14024133142041 - 2⁵ = 14024133142009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14024133142043) 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 63 ways as a sum of consecutive naturals, for example, 493116100 + ... + 493144538.

It is an arithmetic number, because the mean of its divisors is an integer number (327424032000).

Almost surely, 2^{14024133142041} is an apocalyptic number.

14024133142041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14024133142041 is a deficient number, since it is larger than the sum of its proper divisors (6931004905959).

14024133142041 is a wasteful number, since it uses less digits than its factorization.

14024133142041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31074.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 1402413 and 3142041, that added together give a palindrome (4544454).

The spelling of 14024133142041 in words is "fourteen trillion, twenty-four billion, one hundred thirty-three million, one hundred forty-two thousand, forty-one".