40205012033 has 2 divisors, whose sum is σ = 40205012034. Its totient is φ = 40205012032.

The previous prime is 40205011961. The next prime is 40205012077. The reversal of 40205012033 is 33021050204.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39397486144 + 807525889 = 198488^2 + 28417^2 .

It is a cyclic number.

It is not a de Polignac number, because 40205012033 - 2¹⁸ = 40204749889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40205011996 and 40205012014.

It is not a weakly prime, because it can be changed into another prime (40205012093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20102506016 + 20102506017.

It is an arithmetic number, because the mean of its divisors is an integer number (20102506017).

Almost surely, 2^40205012033 is an apocalyptic number.

It is an amenable number.

40205012033 is a deficient number, since it is larger than the sum of its proper divisors (1).

40205012033 is an equidigital number, since it uses as much as digits as its factorization.

40205012033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 40205012033 its reverse (33021050204), we get a palindrome (73226062237).

The spelling of 40205012033 in words is "forty billion, two hundred five million, twelve thousand, thirty-three".