4138107129 has 96 divisors (see below), whose sum is σ = 6887358720. Its totient is φ = 2453068800.

The previous prime is 4138107101. The next prime is 4138107157. The reversal of 4138107129 is 9217018314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4138107101) and next prime (4138107157).

It is not a de Polignac number, because 4138107129 - 2⁵ = 4138107097 is a prime.

It is a super-2 number, since 2×4138107129² = 34247861222161245282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4138107093 and 4138107102.

It is not an unprimeable number, because it can be changed into a prime (4138107329) 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 95 ways as a sum of consecutive naturals, for example, 17170449 + ... + 17170689.

It is an arithmetic number, because the mean of its divisors is an integer number (71743320).

Almost surely, 2^4138107129 is an apocalyptic number.

It is an amenable number.

4138107129 is a deficient number, since it is larger than the sum of its proper divisors (2749251591).

4138107129 is a wasteful number, since it uses less digits than its factorization.

4138107129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 4138107129 is about 64328.1208259654. The cubic root of 4138107129 is about 1605.4640181635.

The spelling of 4138107129 in words is "four billion, one hundred thirty-eight million, one hundred seven thousand, one hundred twenty-nine".