4627428085201 has 2 divisors, whose sum is σ = 4627428085202. Its totient is φ = 4627428085200.

The previous prime is 4627428085127. The next prime is 4627428085277. The reversal of 4627428085201 is 1025808247264.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4060003353025 + 567424732176 = 2014945^2 + 753276^2 .

It is a cyclic number.

It is not a de Polignac number, because 4627428085201 - 2⁷ = 4627428085073 is a prime.

It is not a weakly prime, because it can be changed into another prime (4627428085601) 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, 2313714042600 + 2313714042601.

It is an arithmetic number, because the mean of its divisors is an integer number (2313714042601).

Almost surely, 2^{4627428085201} is an apocalyptic number.

It is an amenable number.

4627428085201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4627428085201 is an equidigital number, since it uses as much as digits as its factorization.

4627428085201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1720320, while the sum is 49.

The spelling of 4627428085201 in words is "four trillion, six hundred twenty-seven billion, four hundred twenty-eight million, eighty-five thousand, two hundred one".