4138276593 has 24 divisors (see below), whose sum is σ = 6068524000. Its totient is φ = 2506553280.

The previous prime is 4138276559. The next prime is 4138276607. The reversal of 4138276593 is 3956728314.

It is not a de Polignac number, because 4138276593 - 2¹⁸ = 4138014449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4138276193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104918 + ... + 1108656.

Almost surely, 2^4138276593 is an apocalyptic number.

It is an amenable number.

4138276593 is a deficient number, since it is larger than the sum of its proper divisors (1930247407).

4138276593 is a wasteful number, since it uses less digits than its factorization.

4138276593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6813 (or 6802 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 4138276593 is about 64329.4379969233. The cubic root of 4138276593 is about 1605.4859335491.

The spelling of 4138276593 in words is "four billion, one hundred thirty-eight million, two hundred seventy-six thousand, five hundred ninety-three".