4006135008 has 36 divisors (see below), whose sum is σ = 11392447248. Its totient is φ = 1335378240.

The previous prime is 4006134989. The next prime is 4006135019. The reversal of 4006135008 is 8005316004.

4006135008 is a `hidden beast` number, since 40 + 0 + 613 + 5 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6954808 + ... + 6955383.

It is an arithmetic number, because the mean of its divisors is an integer number (316456868).

Almost surely, 2^4006135008 is an apocalyptic number.

4006135008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4006135008 is an abundant number, since it is smaller than the sum of its proper divisors (7386312240).

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

4006135008 is a wasteful number, since it uses less digits than its factorization.

4006135008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13910207 (or 13910196 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4006135008 is about 63294.0361171572. The cubic root of 4006135008 is about 1588.2121972570.

The spelling of 4006135008 in words is "four billion, six million, one hundred thirty-five thousand, eight".