4138112736 has 72 divisors (see below), whose sum is σ = 11967260760. Its totient is φ = 1355986176.

The previous prime is 4138112723. The next prime is 4138112743. The reversal of 4138112736 is 6372118314.

It is a happy number.

4138112736 is a `hidden beast` number, since 4 + 1 + 381 + 1 + 273 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4138112736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104775 + ... + 138758.

It is an arithmetic number, because the mean of its divisors is an integer number (166211955).

Almost surely, 2^4138112736 is an apocalyptic number.

It is an amenable number.

4138112736 is an abundant number, since it is smaller than the sum of its proper divisors (7829148024).

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

4138112736 is a wasteful number, since it uses less digits than its factorization.

4138112736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243608 (or 243597 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 4138112736 is about 64328.1644072019. The cubic root of 4138112736 is about 1605.4647432802.

The spelling of 4138112736 in words is "four billion, one hundred thirty-eight million, one hundred twelve thousand, seven hundred thirty-six".