4113041688 has 96 divisors (see below), whose sum is σ = 12756650400. Its totient is φ = 1172772864.

The previous prime is 4113041671. The next prime is 4113041707. The reversal of 4113041688 is 8861403114.

It is a happy number.

It is a Cunningham number, because it is equal to 64133²-1.

It is a super-2 number, since 2×4113041688² = 33834223854451778688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248520 + ... + 264552.

It is an arithmetic number, because the mean of its divisors is an integer number (132881775).

Almost surely, 2^4113041688 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 4113041688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378325200).

4113041688 is an abundant number, since it is smaller than the sum of its proper divisors (8643608712).

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

4113041688 is a wasteful number, since it uses less digits than its factorization.

4113041688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16561 (or 16554 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4113041688 is about 64132.9999922037. Note that the first 5 decimals coincide. The cubic root of 4113041688 is about 1602.2158994933.

The spelling of 4113041688 in words is "four billion, one hundred thirteen million, forty-one thousand, six hundred eighty-eight".