41177883378029 has 2 divisors, whose sum is σ = 41177883378030. Its totient is φ = 41177883378028.

The previous prime is 41177883378019. The next prime is 41177883378031. The reversal of 41177883378029 is 92087338877114.

41177883378029 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., 32861292555529 + 8316590822500 = 5732477^2 + 2883850^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41177883378029 is a prime.

Together with 41177883378031, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41177883378029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41177883378019) 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, 20588941689014 + 20588941689015.

It is an arithmetic number, because the mean of its divisors is an integer number (20588941689015).

Almost surely, 2^{41177883378029} is an apocalyptic number.

It is an amenable number.

41177883378029 is a deficient number, since it is larger than the sum of its proper divisors (1).

41177883378029 is an equidigital number, since it uses as much as digits as its factorization.

41177883378029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113799168, while the sum is 68.

The spelling of 41177883378029 in words is "forty-one trillion, one hundred seventy-seven billion, eight hundred eighty-three million, three hundred seventy-eight thousand, twenty-nine".