4124628041 has 2 divisors, whose sum is σ = 4124628042. Its totient is φ = 4124628040.

The previous prime is 4124628007. The next prime is 4124628047. The reversal of 4124628041 is 1408264214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3699072400 + 425555641 = 60820^2 + 20629^2 .

It is a cyclic number.

It is not a de Polignac number, because 4124628041 - 2¹⁴ = 4124611657 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4124627989 and 4124628007.

It is not a weakly prime, because it can be changed into another prime (4124628047) 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 as a sum of consecutive naturals, namely, 2062314020 + 2062314021.

It is an arithmetic number, because the mean of its divisors is an integer number (2062314021).

Almost surely, 2^4124628041 is an apocalyptic number.

It is an amenable number.

4124628041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4124628041 is an equidigital number, since it uses as much as digits as its factorization.

4124628041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4124628041 is about 64223.2671311574. The cubic root of 4124628041 is about 1603.7189586495.

The spelling of 4124628041 in words is "four billion, one hundred twenty-four million, six hundred twenty-eight thousand, forty-one".