4131638631 has 16 divisors (see below), whose sum is σ = 6136696800. Its totient is φ = 2747337984.

The previous prime is 4131638611. The next prime is 4131638717. The reversal of 4131638631 is 1368361314.

4131638631 is a `hidden beast` number, since 4 + 1 + 3 + 16 + 3 + 8 + 631 = 666.

It is not a de Polignac number, because 4131638631 - 2¹³ = 4131630439 is a prime.

It is a super-2 number, since 2×4131638631² = 34140875554343108322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131638611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186186 + ... + 207191.

It is an arithmetic number, because the mean of its divisors is an integer number (383543550).

Almost surely, 2^4131638631 is an apocalyptic number.

4131638631 is a deficient number, since it is larger than the sum of its proper divisors (2005058169).

4131638631 is a wasteful number, since it uses less digits than its factorization.

4131638631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393775 (or 393769 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 4131638631 is about 64277.8237886131. The cubic root of 4131638631 is about 1604.6270528347.

Adding to 4131638631 its reverse (1368361314), we get a palindrome (5499999945).

The spelling of 4131638631 in words is "four billion, one hundred thirty-one million, six hundred thirty-eight thousand, six hundred thirty-one".