4140414041 has 2 divisors, whose sum is σ = 4140414042. Its totient is φ = 4140414040.

The previous prime is 4140413983. The next prime is 4140414043. The reversal of 4140414041 is 1404140414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3890141641 + 250272400 = 62371^2 + 15820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4140414041 is a prime.

Together with 4140414043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4140413998 and 4140414016.

It is not a weakly prime, because it can be changed into another prime (4140414043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2070207020 + 2070207021.

It is an arithmetic number, because the mean of its divisors is an integer number (2070207021).

Almost surely, 2^4140414041 is an apocalyptic number.

It is an amenable number.

4140414041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4140414041 is an equidigital number, since it uses as much as digits as its factorization.

4140414041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 4140414041 is about 64346.0491483354. The cubic root of 4140414041 is about 1605.7623007733.

Adding to 4140414041 its reverse (1404140414), we get a palindrome (5544554455).

The spelling of 4140414041 in words is "four billion, one hundred forty million, four hundred fourteen thousand, forty-one".