413040413221 has 2 divisors, whose sum is σ = 413040413222. Its totient is φ = 413040413220.

The previous prime is 413040413189. The next prime is 413040413257. The reversal of 413040413221 is 122314040314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210437800225 + 202602612996 = 458735^2 + 450114^2 .

It is a cyclic number.

It is not a de Polignac number, because 413040413221 - 2⁵ = 413040413189 is a prime.

It is a super-3 number, since 3×413040413221³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413040113221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206520206610 + 206520206611.

It is an arithmetic number, because the mean of its divisors is an integer number (206520206611).

Almost surely, 2^413040413221 is an apocalyptic number.

It is an amenable number.

413040413221 is a deficient number, since it is larger than the sum of its proper divisors (1).

413040413221 is an equidigital number, since it uses as much as digits as its factorization.

413040413221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 413040413221 its reverse (122314040314), we get a palindrome (535354453535).

The spelling of 413040413221 in words is "four hundred thirteen billion, forty million, four hundred thirteen thousand, two hundred twenty-one".