4138737361 has 6 divisors (see below), whose sum is σ = 4549190786. Its totient is φ = 3762488400.

The previous prime is 4138737331. The next prime is 4138737391. The reversal of 4138737361 is 1637378314.

It is an interprime number because it is at equal distance from previous prime (4138737331) and next prime (4138737391).

It can be written as a sum of positive squares in only one way, i.e., 3755360961 + 383376400 = 61281^2 + 19580^2 .

It is not a de Polignac number, because 4138737361 - 2¹⁵ = 4138704593 is a prime.

It is a super-3 number, since 3×4138737361³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4138737331) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17102100 + ... + 17102341.

Almost surely, 2^4138737361 is an apocalyptic number.

It is an amenable number.

4138737361 is a deficient number, since it is larger than the sum of its proper divisors (410453425).

4138737361 is a wasteful number, since it uses less digits than its factorization.

4138737361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34204463 (or 34204452 counting only the distinct ones).

The product of its digits is 254016, while the sum is 43.

The square root of 4138737361 is about 64333.0192125319. The cubic root of 4138737361 is about 1605.5455178609.

The spelling of 4138737361 in words is "four billion, one hundred thirty-eight million, seven hundred thirty-seven thousand, three hundred sixty-one".