4082221618001 has 2 divisors, whose sum is σ = 4082221618002. Its totient is φ = 4082221618000.

The previous prime is 4082221617961. The next prime is 4082221618093. The reversal of 4082221618001 is 1008161222804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2961672344401 + 1120549273600 = 1720951^2 + 1058560^2 .

It is a cyclic number.

It is not a de Polignac number, because 4082221618001 - 2¹⁴ = 4082221601617 is a prime.

It is not a weakly prime, because it can be changed into another prime (4082221618801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2041110809000 + 2041110809001.

It is an arithmetic number, because the mean of its divisors is an integer number (2041110809001).

Almost surely, 2^{4082221618001} is an apocalyptic number.

It is an amenable number.

4082221618001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4082221618001 is an equidigital number, since it uses as much as digits as its factorization.

4082221618001 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 35.

The spelling of 4082221618001 in words is "four trillion, eighty-two billion, two hundred twenty-one million, six hundred eighteen thousand, one".