4082814667241 has 2 divisors, whose sum is σ = 4082814667242. Its totient is φ = 4082814667240.

The previous prime is 4082814667231. The next prime is 4082814667273. The reversal of 4082814667241 is 1427664182804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2613153075625 + 1469661591616 = 1616525^2 + 1212296^2 .

It is a cyclic number.

It is not a de Polignac number, because 4082814667241 - 2¹⁴ = 4082814650857 is a prime.

It is not a weakly prime, because it can be changed into another prime (4082814667231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2041407333620 + 2041407333621.

It is an arithmetic number, because the mean of its divisors is an integer number (2041407333621).

Almost surely, 2^{4082814667241} is an apocalyptic number.

It is an amenable number.

4082814667241 is a deficient number, since it is larger than the sum of its proper divisors (1).

4082814667241 is an equidigital number, since it uses as much as digits as its factorization.

4082814667241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4128768, while the sum is 53.

The spelling of 4082814667241 in words is "four trillion, eighty-two billion, eight hundred fourteen million, six hundred sixty-seven thousand, two hundred forty-one".