40111222211161 has 2 divisors, whose sum is σ = 40111222211162. Its totient is φ = 40111222211160.

The previous prime is 40111222211009. The next prime is 40111222211173. The reversal of 40111222211161 is 16111222211104.

40111222211161 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., 38362662937600 + 1748559273561 = 6193760^2 + 1322331^2 .

It is a cyclic number.

It is not a de Polignac number, because 40111222211161 - 2²⁷ = 40111087993433 is a prime.

It is a super-3 number, since 3×40111222211161³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (40111222211191) 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, 20055611105580 + 20055611105581.

It is an arithmetic number, because the mean of its divisors is an integer number (20055611105581).

Almost surely, 2^{40111222211161} is an apocalyptic number.

It is an amenable number.

40111222211161 is a deficient number, since it is larger than the sum of its proper divisors (1).

40111222211161 is an equidigital number, since it uses as much as digits as its factorization.

40111222211161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 25.

Adding to 40111222211161 its reverse (16111222211104), we get a palindrome (56222444422265).

The spelling of 40111222211161 in words is "forty trillion, one hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, one hundred sixty-one".