4042413041121 has 60 divisors (see below), whose sum is σ = 7564922832852. Its totient is φ = 2132261796672.

The previous prime is 4042413041113. The next prime is 4042413041159. The reversal of 4042413041121 is 1211403142404.

4042413041121 is a `hidden beast` number, since 4 + 0 + 4 + 241 + 3 + 0 + 411 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2168624390625 + 1873788650496 = 1472625^2 + 1368864^2 .

It is not a de Polignac number, because 4042413041121 - 2³ = 4042413041113 is a prime.

It is a super-2 number, since 2×4042413041121² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4042413041221) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39121350 + ... + 39224543.

Almost surely, 2^{4042413041121} is an apocalyptic number.

It is an amenable number.

4042413041121 is a deficient number, since it is larger than the sum of its proper divisors (3522509791731).

4042413041121 is a wasteful number, since it uses less digits than its factorization.

4042413041121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78345932 (or 78345916 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4042413041121 its reverse (1211403142404), we get a palindrome (5253816183525).

The spelling of 4042413041121 in words is "four trillion, forty-two billion, four hundred thirteen million, forty-one thousand, one hundred twenty-one".