4065681964799 has 32 divisors (see below), whose sum is σ = 5034901455360. Its totient is φ = 3196934716032.

The previous prime is 4065681964789. The next prime is 4065681964819. The reversal of 4065681964799 is 9974691865604.

It is a cyclic number.

It is not a de Polignac number, because 4065681964799 - 2²⁴ = 4065665187583 is a prime.

It is a super-3 number, since 3×4065681964799³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (74) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4065681964739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11455097 + ... + 11804685.

It is an arithmetic number, because the mean of its divisors is an integer number (157340670480).

Almost surely, 2^{4065681964799} is an apocalyptic number.

4065681964799 is a deficient number, since it is larger than the sum of its proper divisors (969219490561).

4065681964799 is a wasteful number, since it uses less digits than its factorization.

4065681964799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350399.

The product of its (nonzero) digits is 705438720, while the sum is 74.

The spelling of 4065681964799 in words is "four trillion, sixty-five billion, six hundred eighty-one million, nine hundred sixty-four thousand, seven hundred ninety-nine".