4164101041 has 2 divisors, whose sum is σ = 4164101042. Its totient is φ = 4164101040.

The previous prime is 4164101017. The next prime is 4164101089. The reversal of 4164101041 is 1401014614.

4164101041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3378980641 + 785120400 = 58129^2 + 28020^2 .

It is a cyclic number.

It is not a de Polignac number, because 4164101041 - 2¹¹ = 4164098993 is a prime.

It is not a weakly prime, because it can be changed into another prime (4164101741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2082050520 + 2082050521.

It is an arithmetic number, because the mean of its divisors is an integer number (2082050521).

Almost surely, 2^4164101041 is an apocalyptic number.

It is an amenable number.

4164101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4164101041 is an equidigital number, since it uses as much as digits as its factorization.

4164101041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 4164101041 is about 64529.8461256495. The cubic root of 4164101041 is about 1608.8186286172.

Adding to 4164101041 its reverse (1401014614), we get a palindrome (5565115655).

The spelling of 4164101041 in words is "four billion, one hundred sixty-four million, one hundred one thousand, forty-one".