4140124131 has 64 divisors (see below), whose sum is σ = 6820982784. Its totient is φ = 2197852800.

The previous prime is 4140124127. The next prime is 4140124133. The reversal of 4140124131 is 1314210414.

It is not a de Polignac number, because 4140124131 - 2² = 4140124127 is a prime.

It is a super-2 number, since 2×4140124131² = 34281255640177010322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4140124098 and 4140124107.

It is not an unprimeable number, because it can be changed into a prime (4140124133) 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 63 ways as a sum of consecutive naturals, for example, 1290976 + ... + 1294178.

It is an arithmetic number, because the mean of its divisors is an integer number (106577856).

Almost surely, 2^4140124131 is an apocalyptic number.

4140124131 is a deficient number, since it is larger than the sum of its proper divisors (2680858653).

4140124131 is a wasteful number, since it uses less digits than its factorization.

4140124131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4140124131 is about 64343.7963676375. The cubic root of 4140124131 is about 1605.7248216380.

Adding to 4140124131 its reverse (1314210414), we get a palindrome (5454334545).

It can be divided in two parts, 4140 and 124131, that added together give a triangular number (128271 = T₅₀₆).

The spelling of 4140124131 in words is "four billion, one hundred forty million, one hundred twenty-four thousand, one hundred thirty-one".