40164242561 has 2 divisors, whose sum is σ = 40164242562. Its totient is φ = 40164242560.

The previous prime is 40164242533. The next prime is 40164242581. The reversal of 40164242561 is 16524246104.

40164242561 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., 32415841936 + 7748400625 = 180044^2 + 88025^2 .

It is a cyclic number.

It is not a de Polignac number, because 40164242561 - 2¹⁴ = 40164226177 is a prime.

It is a super-2 number, since 2×40164242561² (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (40164242581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20082121280 + 20082121281.

It is an arithmetic number, because the mean of its divisors is an integer number (20082121281).

Almost surely, 2^40164242561 is an apocalyptic number.

It is an amenable number.

40164242561 is a deficient number, since it is larger than the sum of its proper divisors (1).

40164242561 is an equidigital number, since it uses as much as digits as its factorization.

40164242561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 40164242561 its reverse (16524246104), we get a palindrome (56688488665).

The spelling of 40164242561 in words is "forty billion, one hundred sixty-four million, two hundred forty-two thousand, five hundred sixty-one".