4020330330257 has 2 divisors, whose sum is σ = 4020330330258. Its totient is φ = 4020330330256.

The previous prime is 4020330330131. The next prime is 4020330330277. The reversal of 4020330330257 is 7520330330204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2986039296256 + 1034291034001 = 1728016^2 + 1017001^2 .

It is a cyclic number.

It is not a de Polignac number, because 4020330330257 - 2¹⁶ = 4020330264721 is a prime.

It is not a weakly prime, because it can be changed into another prime (4020330330277) 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, 2010165165128 + 2010165165129.

It is an arithmetic number, because the mean of its divisors is an integer number (2010165165129).

Almost surely, 2^{4020330330257} is an apocalyptic number.

It is an amenable number.

4020330330257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4020330330257 is an equidigital number, since it uses as much as digits as its factorization.

4020330330257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 32.

The spelling of 4020330330257 in words is "four trillion, twenty billion, three hundred thirty million, three hundred thirty thousand, two hundred fifty-seven".