4113123434420 has 576 divisors, whose sum is σ = 11966338137600. Its totient is φ = 1167265935360.

The previous prime is 4113123434377. The next prime is 4113123434429. The reversal of 4113123434420 is 244343213114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113123434429) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4475650721 + ... + 4475651639.

It is an arithmetic number, because the mean of its divisors is an integer number (20774892600).

Almost surely, 2^{4113123434420} 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 4113123434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983169068800).

4113123434420 is an abundant number, since it is smaller than the sum of its proper divisors (7853214703180).

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

4113123434420 is a wasteful number, since it uses less digits than its factorization.

4113123434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 4113123434420 its reverse (244343213114), we get a palindrome (4357466647534).

The spelling of 4113123434420 in words is "four trillion, one hundred thirteen billion, one hundred twenty-three million, four hundred thirty-four thousand, four hundred twenty".