41026623642101 has 2 divisors, whose sum is σ = 41026623642102. Its totient is φ = 41026623642100.

The previous prime is 41026623642089. The next prime is 41026623642119. The reversal of 41026623642101 is 10124632662014.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20727760200625 + 20298863441476 = 4552775^2 + 4505426^2 .

It is a cyclic number.

It is not a de Polignac number, because 41026623642101 - 2³⁰ = 41025549900277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41026623692101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20513311821050 + 20513311821051.

It is an arithmetic number, because the mean of its divisors is an integer number (20513311821051).

Almost surely, 2^{41026623642101} is an apocalyptic number.

It is an amenable number.

41026623642101 is a deficient number, since it is larger than the sum of its proper divisors (1).

41026623642101 is an equidigital number, since it uses as much as digits as its factorization.

41026623642101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 41026623642101 in words is "forty-one trillion, twenty-six billion, six hundred twenty-three million, six hundred forty-two thousand, one hundred one".