4042413102312 has 192 divisors, whose sum is σ = 11877523257600. Its totient is φ = 1234659363840.

The previous prime is 4042413102293. The next prime is 4042413102313. The reversal of 4042413102312 is 2132013142404.

4042413102312 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 413 + 10 + 231 + 2 = 666.

4042413102312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4042413102312² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4042413102313) 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, 69143989 + ... + 69202427.

It is an arithmetic number, because the mean of its divisors is an integer number (61862100300).

Almost surely, 2^{4042413102312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042413102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938761628800).

4042413102312 is an abundant number, since it is smaller than the sum of its proper divisors (7835110155288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4042413102312 is a wasteful number, since it uses less digits than its factorization.

4042413102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59008 (or 59001 counting only the distinct ones).

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

Adding to 4042413102312 its reverse (2132013142404), we get a palindrome (6174426244716).

The spelling of 4042413102312 in words is "four trillion, forty-two billion, four hundred thirteen million, one hundred two thousand, three hundred twelve".