4042133212221 has 12 divisors (see below), whose sum is σ = 6287762774748. Its totient is φ = 2487466592064.

The previous prime is 4042133212157. The next prime is 4042133212303. The reversal of 4042133212221 is 1222123312404.

4042133212221 is a `hidden beast` number, since 4 + 0 + 421 + 3 + 3 + 2 + 12 + 221 = 666.

4042133212221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1468871280900 + 2573261931321 = 1211970^2 + 1604139^2 .

It is not a de Polignac number, because 4042133212221 - 2⁶ = 4042133212157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042133212021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17274073440 + ... + 17274073673.

It is an arithmetic number, because the mean of its divisors is an integer number (523980231229).

Almost surely, 2^{4042133212221} is an apocalyptic number.

It is an amenable number.

4042133212221 is a deficient number, since it is larger than the sum of its proper divisors (2245629562527).

4042133212221 is a wasteful number, since it uses less digits than its factorization.

4042133212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34548147132 (or 34548147129 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4042133212221 its reverse (1222123312404), we get a palindrome (5264256524625).

The spelling of 4042133212221 in words is "four trillion, forty-two billion, one hundred thirty-three million, two hundred twelve thousand, two hundred twenty-one".