4042133310033 has 48 divisors (see below), whose sum is σ = 7608721550976. Its totient is φ = 2006695779840.

The previous prime is 4042133309987. The next prime is 4042133310077. The reversal of 4042133310033 is 3300133312404.

4042133310033 is a `hidden beast` number, since 404 + 213 + 3 + 3 + 10 + 0 + 33 = 666.

4042133310033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4042133310033 - 2⁶ = 4042133309969 is a prime.

It is a super-2 number, since 2×4042133310033² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4042133309979 and 4042133310006.

It is not an unprimeable number, because it can be changed into a prime (4042133314033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145146363 + ... + 145174208.

It is an arithmetic number, because the mean of its divisors is an integer number (158515032312).

Almost surely, 2^{4042133310033} is an apocalyptic number.

It is an amenable number.

4042133310033 is a deficient number, since it is larger than the sum of its proper divisors (3566588240943).

4042133310033 is a wasteful number, since it uses less digits than its factorization.

4042133310033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290320614 (or 290320611 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 4042133310033 its reverse (3300133312404), we get a palindrome (7342266622437).

The spelling of 4042133310033 in words is "four trillion, forty-two billion, one hundred thirty-three million, three hundred ten thousand, thirty-three".