4042413021301 has 12 divisors (see below), whose sum is σ = 4295750278212. Its totient is φ = 3803241279488.

The previous prime is 4042413021299. The next prime is 4042413021331. The reversal of 4042413021301 is 1031203142404.

It can be written as a sum of positive squares in 6 ways, for example, as 2255448294225 + 1786964727076 = 1501815^2 + 1336774^2 .

It is not a de Polignac number, because 4042413021301 - 2¹ = 4042413021299 is a prime.

It is a super-2 number, since 2×4042413021301² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042413021331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1744810 + ... + 3336043.

It is an arithmetic number, because the mean of its divisors is an integer number (357979189851).

Almost surely, 2^{4042413021301} is an apocalyptic number.

It is an amenable number.

4042413021301 is a deficient number, since it is larger than the sum of its proper divisors (253337256911).

4042413021301 is a wasteful number, since it uses less digits than its factorization.

4042413021301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083640 (or 5083623 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4042413021301 its reverse (1031203142404), we get a palindrome (5073616163705).

The spelling of 4042413021301 in words is "four trillion, forty-two billion, four hundred thirteen million, twenty-one thousand, three hundred one".