4042105633 has 2 divisors, whose sum is σ = 4042105634. Its totient is φ = 4042105632.

The previous prime is 4042105607. The next prime is 4042105643. The reversal of 4042105633 is 3365012404.

4042105633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3550729744 + 491375889 = 59588^2 + 22167^2 .

It is a cyclic number.

It is not a de Polignac number, because 4042105633 - 2⁵ = 4042105601 is a prime.

It is not a weakly prime, because it can be changed into another prime (4042105643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2021052816 + 2021052817.

It is an arithmetic number, because the mean of its divisors is an integer number (2021052817).

Almost surely, 2^4042105633 is an apocalyptic number.

It is an amenable number.

4042105633 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042105633 is an equidigital number, since it uses as much as digits as its factorization.

4042105633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4042105633 is about 63577.5560477123. The cubic root of 4042105633 is about 1592.9514990395.

The spelling of 4042105633 in words is "four billion, forty-two million, one hundred five thousand, six hundred thirty-three".