4140456131 has 32 divisors (see below), whose sum is σ = 5230448640. Its totient is φ = 3195878400.

The previous prime is 4140456101. The next prime is 4140456139. The reversal of 4140456131 is 1316540414.

It is a cyclic number.

It is not a de Polignac number, because 4140456131 - 2¹⁴ = 4140439747 is a prime.

It is a super-2 number, since 2×4140456131² = 34286753945470978322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4140456094 and 4140456103.

It is not an unprimeable number, because it can be changed into a prime (4140456139) 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 31 ways as a sum of consecutive naturals, for example, 322016 + ... + 334626.

It is an arithmetic number, because the mean of its divisors is an integer number (163451520).

Almost surely, 2^4140456131 is an apocalyptic number.

4140456131 is a deficient number, since it is larger than the sum of its proper divisors (1089992509).

4140456131 is a wasteful number, since it uses less digits than its factorization.

4140456131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12755.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 4140456131 is about 64346.3762072115. The cubic root of 4140456131 is about 1605.7677419607.

Adding to 4140456131 its reverse (1316540414), we get a palindrome (5456996545).

The spelling of 4140456131 in words is "four billion, one hundred forty million, four hundred fifty-six thousand, one hundred thirty-one".