41167673705761 has 2 divisors, whose sum is σ = 41167673705762. Its totient is φ = 41167673705760.

The previous prime is 41167673705713. The next prime is 41167673705771. The reversal of 41167673705761 is 16750737676114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40277821083361 + 889852622400 = 6346481^2 + 943320^2 .

It is a cyclic number.

It is not a de Polignac number, because 41167673705761 - 2¹⁹ = 41167673181473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41167673705761.

It is not a weakly prime, because it can be changed into another prime (41167673705771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20583836852880 + 20583836852881.

It is an arithmetic number, because the mean of its divisors is an integer number (20583836852881).

Almost surely, 2^{41167673705761} is an apocalyptic number.

It is an amenable number.

41167673705761 is a deficient number, since it is larger than the sum of its proper divisors (1).

41167673705761 is an equidigital number, since it uses as much as digits as its factorization.

41167673705761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31116960, while the sum is 61.

The spelling of 41167673705761 in words is "forty-one trillion, one hundred sixty-seven billion, six hundred seventy-three million, seven hundred five thousand, seven hundred sixty-one".