4138627567 has 16 divisors (see below), whose sum is σ = 4356882432. Its totient is φ = 3923708800.

The previous prime is 4138627547. The next prime is 4138627573. The reversal of 4138627567 is 7657268314.

It is a cyclic number.

It is not a de Polignac number, because 4138627567 - 2¹⁵ = 4138594799 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4138627567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138627517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1538898 + ... + 1541584.

It is an arithmetic number, because the mean of its divisors is an integer number (272305152).

Almost surely, 2^4138627567 is an apocalyptic number.

4138627567 is a deficient number, since it is larger than the sum of its proper divisors (218254865).

4138627567 is a wasteful number, since it uses less digits than its factorization.

4138627567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278.

The product of its digits is 1693440, while the sum is 49.

The square root of 4138627567 is about 64332.1658814624. The cubic root of 4138627567 is about 1605.5313202278.

The spelling of 4138627567 in words is "four billion, one hundred thirty-eight million, six hundred twenty-seven thousand, five hundred sixty-seven".