4066941726101 has 2 divisors, whose sum is σ = 4066941726102. Its totient is φ = 4066941726100.

The previous prime is 4066941726079. The next prime is 4066941726109. The reversal of 4066941726101 is 1016271496604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2966572195876 + 1100369530225 = 1722374^2 + 1048985^2 .

It is a cyclic number.

It is not a de Polignac number, because 4066941726101 - 2³⁸ = 3792063819157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4066941726109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2033470863050 + 2033470863051.

It is an arithmetic number, because the mean of its divisors is an integer number (2033470863051).

Almost surely, 2^{4066941726101} is an apocalyptic number.

It is an amenable number.

4066941726101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4066941726101 is an equidigital number, since it uses as much as digits as its factorization.

4066941726101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 4066941726101 in words is "four trillion, sixty-six billion, nine hundred forty-one million, seven hundred twenty-six thousand, one hundred one".