4113431040340 has 48 divisors (see below), whose sum is σ = 8646237540864. Its totient is φ = 1643843158400.

The previous prime is 4113431040331. The next prime is 4113431040349. The reversal of 4113431040340 is 430401343114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4113431040331) and next prime (4113431040349).

It is a super-2 number, since 2×4113431040340² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4113431040299 and 4113431040308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113431040349) 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 15 ways as a sum of consecutive naturals, for example, 102736125 + ... + 102776155.

It is an arithmetic number, because the mean of its divisors is an integer number (180129948768).

Almost surely, 2^{4113431040340} is an apocalyptic number.

It is an amenable number.

4113431040340 is an abundant number, since it is smaller than the sum of its proper divisors (4532806500524).

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

4113431040340 is a wasteful number, since it uses less digits than its factorization.

4113431040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44688 (or 44686 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4113431040340 its reverse (430401343114), we get a palindrome (4543832383454).

The spelling of 4113431040340 in words is "four trillion, one hundred thirteen billion, four hundred thirty-one million, forty thousand, three hundred forty".