40876846271201 has 2 divisors, whose sum is σ = 40876846271202. Its totient is φ = 40876846271200.

The previous prime is 40876846271101. The next prime is 40876846271207. The reversal of 40876846271201 is 10217264867804.

40876846271201 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., 24946178998225 + 15930667272976 = 4994615^2 + 3991324^2 .

It is a cyclic number.

It is not a de Polignac number, because 40876846271201 - 2¹⁰ = 40876846270177 is a prime.

It is a super-2 number, since 2×40876846271201² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40876846271207) 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, 20438423135600 + 20438423135601.

It is an arithmetic number, because the mean of its divisors is an integer number (20438423135601).

Almost surely, 2^{40876846271201} is an apocalyptic number.

It is an amenable number.

40876846271201 is a deficient number, since it is larger than the sum of its proper divisors (1).

40876846271201 is an equidigital number, since it uses as much as digits as its factorization.

40876846271201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7225344, while the sum is 56.

The spelling of 40876846271201 in words is "forty trillion, eight hundred seventy-six billion, eight hundred forty-six million, two hundred seventy-one thousand, two hundred one".