4034041033201 has 2 divisors, whose sum is σ = 4034041033202. Its totient is φ = 4034041033200.

The previous prime is 4034041033199. The next prime is 4034041033279. The reversal of 4034041033201 is 1023301404304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4012613928801 + 21427104400 = 2003151^2 + 146380^2 .

It is a cyclic number.

It is not a de Polignac number, because 4034041033201 - 2¹ = 4034041033199 is a prime.

Together with 4034041033199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4034041033801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2017020516600 + 2017020516601.

It is an arithmetic number, because the mean of its divisors is an integer number (2017020516601).

Almost surely, 2^{4034041033201} is an apocalyptic number.

It is an amenable number.

4034041033201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4034041033201 is an equidigital number, since it uses as much as digits as its factorization.

4034041033201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 4034041033201 its reverse (1023301404304), we get a palindrome (5057342437505).

The spelling of 4034041033201 in words is "four trillion, thirty-four billion, forty-one million, thirty-three thousand, two hundred one".