4065736517741 has 2 divisors, whose sum is σ = 4065736517742. Its totient is φ = 4065736517740.

The previous prime is 4065736517723. The next prime is 4065736517767. The reversal of 4065736517741 is 1477156375604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3452888658025 + 612847859716 = 1858195^2 + 782846^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4065736517741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4065736517701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2032868258870 + 2032868258871.

It is an arithmetic number, because the mean of its divisors is an integer number (2032868258871).

Almost surely, 2^{4065736517741} is an apocalyptic number.

It is an amenable number.

4065736517741 is a deficient number, since it is larger than the sum of its proper divisors (1).

4065736517741 is an equidigital number, since it uses as much as digits as its factorization.

4065736517741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14817600, while the sum is 56.

The spelling of 4065736517741 in words is "four trillion, sixty-five billion, seven hundred thirty-six million, five hundred seventeen thousand, seven hundred forty-one".