413233440331221 has 12 divisors (see below), whose sum is σ = 598310544649740. Its totient is φ = 274834592141760.

The previous prime is 413233440331183. The next prime is 413233440331223. The reversal of 413233440331221 is 122133044332314.

413233440331221 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 334 + 4 + 0 + 3 + 312 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22162486367025 + 391070953964196 = 4707705^2 + 19775514^2 .

It is not a de Polignac number, because 413233440331221 - 2²¹ = 413233438234069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413233440331223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54530669256 + ... + 54530676833.

It is an arithmetic number, because the mean of its divisors is an integer number (49859212054145).

Almost surely, 2^{413233440331221} is an apocalyptic number.

It is an amenable number.

413233440331221 is a deficient number, since it is larger than the sum of its proper divisors (185077104318519).

413233440331221 is a wasteful number, since it uses less digits than its factorization.

413233440331221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109061346516 (or 109061346513 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 413233440331221 its reverse (122133044332314), we get a palindrome (535366484663535).

The spelling of 413233440331221 in words is "four hundred thirteen trillion, two hundred thirty-three billion, four hundred forty million, three hundred thirty-one thousand, two hundred twenty-one".