4135882608 has 540 divisors, whose sum is σ = 14902665960. Its totient is φ = 1060646400.

The previous prime is 4135882571. The next prime is 4135882643. The reversal of 4135882608 is 8062885314.

4135882608 is a `hidden beast` number, since 4 + 1 + 3 + 588 + 2 + 60 + 8 = 666.

4135882608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 133415553 + ... + 133415583.

Almost surely, 2^4135882608 is an apocalyptic number.

4135882608 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 4135882608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451332980).

4135882608 is an abundant number, since it is smaller than the sum of its proper divisors (10766783352).

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

4135882608 is a wasteful number, since it uses less digits than its factorization.

4135882608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4135882608 is about 64310.8280773930. The cubic root of 4135882608 is about 1605.1762836624.

The spelling of 4135882608 in words is "four billion, one hundred thirty-five million, eight hundred eighty-two thousand, six hundred eight".