4462406166401 has 2 divisors, whose sum is σ = 4462406166402. Its totient is φ = 4462406166400.

The previous prime is 4462406166377. The next prime is 4462406166473. The reversal of 4462406166401 is 1046616042644.

4462406166401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3660521736001 + 801884430400 = 1913249^2 + 895480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4462406166401 is a prime.

It is not a weakly prime, because it can be changed into another prime (4462406166901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2231203083200 + 2231203083201.

It is an arithmetic number, because the mean of its divisors is an integer number (2231203083201).

Almost surely, 2^{4462406166401} is an apocalyptic number.

It is an amenable number.

4462406166401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4462406166401 is an equidigital number, since it uses as much as digits as its factorization.

4462406166401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 4462406166401 in words is "four trillion, four hundred sixty-two billion, four hundred six million, one hundred sixty-six thousand, four hundred one".