4197310977361 has 2 divisors, whose sum is σ = 4197310977362. Its totient is φ = 4197310977360.

The previous prime is 4197310977259. The next prime is 4197310977367. The reversal of 4197310977361 is 1637790137914.

4197310977361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3883733376961 + 313577600400 = 1970719^2 + 559980^2 .

It is a cyclic number.

It is not a de Polignac number, because 4197310977361 - 2³¹ = 4195163493713 is a prime.

It is a super-3 number, since 3×4197310977361³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4197310977296 and 4197310977305.

It is not a weakly prime, because it can be changed into another prime (4197310977367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2098655488680 + 2098655488681.

It is an arithmetic number, because the mean of its divisors is an integer number (2098655488681).

Almost surely, 2^{4197310977361} is an apocalyptic number.

It is an amenable number.

4197310977361 is a deficient number, since it is larger than the sum of its proper divisors (1).

4197310977361 is an equidigital number, since it uses as much as digits as its factorization.

4197310977361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6001128, while the sum is 58.

The spelling of 4197310977361 in words is "four trillion, one hundred ninety-seven billion, three hundred ten million, nine hundred seventy-seven thousand, three hundred sixty-one".