14065456041 has 96 divisors (see below), whose sum is σ = 26354345472. Its totient is φ = 7025356800.

The previous prime is 14065456037. The next prime is 14065456049.

14065456041 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 5 + 45 + 604 + 1 = 666.

14065456041 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14065456041 - 2² = 14065456037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14065455987 and 14065456005.

It is not an unprimeable number, because it can be changed into a prime (14065456049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1898841 + ... + 1906233.

It is an arithmetic number, because the mean of its divisors is an integer number (274524432).

Almost surely, 2^14065456041 is an apocalyptic number.

It is an amenable number.

14065456041 is a deficient number, since it is larger than the sum of its proper divisors (12288889431).

14065456041 is a wasteful number, since it uses less digits than its factorization.

14065456041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7543 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 14065456041 in words is "fourteen billion, sixty-five million, four hundred fifty-six thousand, forty-one".