4109135688 has 288 divisors, whose sum is σ = 13838441760. Its totient is φ = 1094446080.

The previous prime is 4109135687. The next prime is 4109135699. The reversal of 4109135688 is 8865319014.

It is a super-2 number, since 2×4109135688² = 33769992204790466688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4109135687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7856595 + ... + 7857117.

It is an arithmetic number, because the mean of its divisors is an integer number (48050145).

Almost surely, 2^4109135688 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 4109135688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919220880).

4109135688 is an abundant number, since it is smaller than the sum of its proper divisors (9729306072).

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

4109135688 is a wasteful number, since it uses less digits than its factorization.

4109135688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4109135688 is about 64102.5404176777. The cubic root of 4109135688 is about 1601.7085509258.

The spelling of 4109135688 in words is "four billion, one hundred nine million, one hundred thirty-five thousand, six hundred eighty-eight".