41192476416001 has 2 divisors, whose sum is σ = 41192476416002. Its totient is φ = 41192476416000.

The previous prime is 41192476415947. The next prime is 41192476416031. The reversal of 41192476416001 is 10061467429114.

41192476416001 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., 21849641409600 + 19342835006401 = 4674360^2 + 4398049^2 .

It is a cyclic number.

It is not a de Polignac number, because 41192476416001 - 2¹¹ = 41192476413953 is a prime.

It is a super-2 number, since 2×41192476416001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41192476416031) 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, 20596238208000 + 20596238208001.

It is an arithmetic number, because the mean of its divisors is an integer number (20596238208001).

Almost surely, 2^{41192476416001} is an apocalyptic number.

It is an amenable number.

41192476416001 is a deficient number, since it is larger than the sum of its proper divisors (1).

41192476416001 is an equidigital number, since it uses as much as digits as its factorization.

41192476416001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 41192476416001 in words is "forty-one trillion, one hundred ninety-two billion, four hundred seventy-six million, four hundred sixteen thousand, one".