4130861734361 has 2 divisors, whose sum is σ = 4130861734362. Its totient is φ = 4130861734360.

The previous prime is 4130861734283. The next prime is 4130861734379. The reversal of 4130861734361 is 1634371680314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3239856001600 + 891005732761 = 1799960^2 + 943931^2 .

It is a cyclic number.

It is not a de Polignac number, because 4130861734361 - 2¹⁸ = 4130861472217 is a prime.

It is not a weakly prime, because it can be changed into another prime (4130861734381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2065430867180 + 2065430867181.

It is an arithmetic number, because the mean of its divisors is an integer number (2065430867181).

Almost surely, 2^{4130861734361} is an apocalyptic number.

It is an amenable number.

4130861734361 is a deficient number, since it is larger than the sum of its proper divisors (1).

4130861734361 is an equidigital number, since it uses as much as digits as its factorization.

4130861734361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 4130861734361 in words is "four trillion, one hundred thirty billion, eight hundred sixty-one million, seven hundred thirty-four thousand, three hundred sixty-one".