41607201830401 has 2 divisors, whose sum is σ = 41607201830402. Its totient is φ = 41607201830400.

The previous prime is 41607201830321. The next prime is 41607201830407. The reversal of 41607201830401 is 10403810270614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30622776426225 + 10984425404176 = 5533785^2 + 3314276^2 .

It is a cyclic number.

It is not a de Polignac number, because 41607201830401 - 2⁷ = 41607201830273 is a prime.

It is not a weakly prime, because it can be changed into another prime (41607201830407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20803600915200 + 20803600915201.

It is an arithmetic number, because the mean of its divisors is an integer number (20803600915201).

Almost surely, 2^{41607201830401} is an apocalyptic number.

It is an amenable number.

41607201830401 is a deficient number, since it is larger than the sum of its proper divisors (1).

41607201830401 is an equidigital number, since it uses as much as digits as its factorization.

41607201830401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 41607201830401 in words is "forty-one trillion, six hundred seven billion, two hundred one million, eight hundred thirty thousand, four hundred one".