4042414413 has 6 divisors (see below), whose sum is σ = 5839043054. Its totient is φ = 2694942936.

The previous prime is 4042414403. The next prime is 4042414417. The reversal of 4042414413 is 3144142404.

4042414413 is a `hidden beast` number, since 4 + 0 + 4 + 241 + 4 + 413 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3378166884 + 664247529 = 58122^2 + 25773^2 .

It is not a de Polignac number, because 4042414413 - 2⁸ = 4042414157 is a prime.

It is a super-2 number, since 2×4042414413² = 32682228572860269138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042414417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 224578570 + ... + 224578587.

Almost surely, 2^4042414413 is an apocalyptic number.

It is an amenable number.

4042414413 is a deficient number, since it is larger than the sum of its proper divisors (1796628641).

4042414413 is a wasteful number, since it uses less digits than its factorization.

4042414413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449157163 (or 449157160 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4042414413 is about 63579.9843740151. The cubic root of 4042414413 is about 1592.9920603281.

Adding to 4042414413 its reverse (3144142404), we get a palindrome (7186556817).

The spelling of 4042414413 in words is "four billion, forty-two million, four hundred fourteen thousand, four hundred thirteen".