4113131568 has 320 divisors, whose sum is σ = 13529134080. Its totient is φ = 1048080384.

The previous prime is 4113131563. The next prime is 4113131573. The reversal of 4113131568 is 8651313114.

It is an interprime number because it is at equal distance from previous prime (4113131563) and next prime (4113131573).

It is not an unprimeable number, because it can be changed into a prime (4113131563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25233855 + ... + 25234017.

It is an arithmetic number, because the mean of its divisors is an integer number (42278544).

Almost surely, 2^4113131568 is an apocalyptic number.

4113131568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113131568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764567040).

4113131568 is an abundant number, since it is smaller than the sum of its proper divisors (9416002512).

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

4113131568 is a wasteful number, since it uses less digits than its factorization.

4113131568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 4113131568 is about 64133.7007196684. The cubic root of 4113131568 is about 1602.2275701843.

The spelling of 4113131568 in words is "four billion, one hundred thirteen million, one hundred thirty-one thousand, five hundred sixty-eight".