41600726401001 has 2 divisors, whose sum is σ = 41600726401002. Its totient is φ = 41600726401000.

The previous prime is 41600726400901. The next prime is 41600726401019. The reversal of 41600726401001 is 10010462700614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40830502515625 + 770223885376 = 6389875^2 + 877624^2 .

It is a cyclic number.

It is not a de Polignac number, because 41600726401001 - 2¹⁸ = 41600726138857 is a prime.

It is a super-2 number, since 2×41600726401001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41600726400001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20800363200500 + 20800363200501.

It is an arithmetic number, because the mean of its divisors is an integer number (20800363200501).

Almost surely, 2^{41600726401001} is an apocalyptic number.

It is an amenable number.

41600726401001 is a deficient number, since it is larger than the sum of its proper divisors (1).

41600726401001 is an equidigital number, since it uses as much as digits as its factorization.

41600726401001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 41600726401001 in words is "forty-one trillion, six hundred billion, seven hundred twenty-six million, four hundred one thousand, one".