4142729821 has 2 divisors, whose sum is σ = 4142729822. Its totient is φ = 4142729820.

The previous prime is 4142729819. The next prime is 4142729849. The reversal of 4142729821 is 1289272414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3935052900 + 207676921 = 62730^2 + 14411^2 .

It is a cyclic number.

It is not a de Polignac number, because 4142729821 - 2¹ = 4142729819 is a prime.

Together with 4142729819, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4142729861) 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 as a sum of consecutive naturals, namely, 2071364910 + 2071364911.

It is an arithmetic number, because the mean of its divisors is an integer number (2071364911).

Almost surely, 2^4142729821 is an apocalyptic number.

It is an amenable number.

4142729821 is a deficient number, since it is larger than the sum of its proper divisors (1).

4142729821 is an equidigital number, since it uses as much as digits as its factorization.

4142729821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64512, while the sum is 40.

The square root of 4142729821 is about 64364.0413662784. The cubic root of 4142729821 is about 1606.0616185964.

The spelling of 4142729821 in words is "four billion, one hundred forty-two million, seven hundred twenty-nine thousand, eight hundred twenty-one".