4034121304321 has 2 divisors, whose sum is σ = 4034121304322. Its totient is φ = 4034121304320.

The previous prime is 4034121304219. The next prime is 4034121304337. The reversal of 4034121304321 is 1234031214304.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3670193850625 + 363927453696 = 1915775^2 + 603264^2 .

It is a cyclic number.

It is not a de Polignac number, because 4034121304321 - 2²⁹ = 4033584433409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4034121304321.

It is not a weakly prime, because it can be changed into another prime (4034121304921) 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, 2017060652160 + 2017060652161.

It is an arithmetic number, because the mean of its divisors is an integer number (2017060652161).

Almost surely, 2^{4034121304321} is an apocalyptic number.

It is an amenable number.

4034121304321 is a deficient number, since it is larger than the sum of its proper divisors (1).

4034121304321 is an equidigital number, since it uses as much as digits as its factorization.

4034121304321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4034121304321 its reverse (1234031214304), we get a palindrome (5268152518625).

The spelling of 4034121304321 in words is "four trillion, thirty-four billion, one hundred twenty-one million, three hundred four thousand, three hundred twenty-one".