41471684655601 has 2 divisors, whose sum is σ = 41471684655602. Its totient is φ = 41471684655600.

The previous prime is 41471684655491. The next prime is 41471684655607. The reversal of 41471684655601 is 10655648617414.

41471684655601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39772509837025 + 1699174818576 = 6306545^2 + 1303524^2 .

It is a cyclic number.

It is not a de Polignac number, because 41471684655601 - 2²⁵ = 41471651101169 is a prime.

It is a super-2 number, since 2×41471684655601² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41471684655607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20735842327800 + 20735842327801.

It is an arithmetic number, because the mean of its divisors is an integer number (20735842327801).

Almost surely, 2^{41471684655601} is an apocalyptic number.

It is an amenable number.

41471684655601 is a deficient number, since it is larger than the sum of its proper divisors (1).

41471684655601 is an equidigital number, since it uses as much as digits as its factorization.

41471684655601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 41471684655601 in words is "forty-one trillion, four hundred seventy-one billion, six hundred eighty-four million, six hundred fifty-five thousand, six hundred one".