4172136041 has 2 divisors, whose sum is σ = 4172136042. Its totient is φ = 4172136040.

The previous prime is 4172136019. The next prime is 4172136043. The reversal of 4172136041 is 1406312714.

It is a happy number.

4172136041 is digitally balanced in base 3, 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., 3457910416 + 714225625 = 58804^2 + 26725^2 .

It is a cyclic number.

It is not a de Polignac number, because 4172136041 - 2¹⁰ = 4172135017 is a prime.

It is a super-2 number, since 2×4172136041² = 34813438289222307362, which contains 22 as substring.

Together with 4172136043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4172135995 and 4172136013.

It is not a weakly prime, because it can be changed into another prime (4172136043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2086068020 + 2086068021.

It is an arithmetic number, because the mean of its divisors is an integer number (2086068021).

Almost surely, 2^4172136041 is an apocalyptic number.

It is an amenable number.

4172136041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4172136041 is an equidigital number, since it uses as much as digits as its factorization.

4172136041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 4172136041 is about 64592.0741345252. The cubic root of 4172136041 is about 1609.8527495436.

Adding to 4172136041 its reverse (1406312714), we get a palindrome (5578448755).

The spelling of 4172136041 in words is "four billion, one hundred seventy-two million, one hundred thirty-six thousand, forty-one".