4042113131430 has 192 divisors, whose sum is σ = 11715709404672. Its totient is φ = 958699077120.

The previous prime is 4042113131417. The next prime is 4042113131431. The reversal of 4042113131430 is 341313112404.

4042113131430 is a `hidden beast` number, since 4 + 0 + 4 + 211 + 3 + 13 + 1 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4042113131394 and 4042113131403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042113131431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8224714 + ... + 8702306.

It is an arithmetic number, because the mean of its divisors is an integer number (61019319816).

Almost surely, 2^{4042113131430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042113131430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857854702336).

4042113131430 is an abundant number, since it is smaller than the sum of its proper divisors (7673596273242).

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

4042113131430 is a wasteful number, since it uses less digits than its factorization.

4042113131430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477803 (or 477800 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4042113131430 its reverse (341313112404), we get a palindrome (4383426243834).

The spelling of 4042113131430 in words is "four trillion, forty-two billion, one hundred thirteen million, one hundred thirty-one thousand, four hundred thirty".