10020440417857 has 2 divisors, whose sum is σ = 10020440417858. Its totient is φ = 10020440417856.

The previous prime is 10020440417839. The next prime is 10020440417861. The reversal of 10020440417857 is 75871404402001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9986364734641 + 34075683216 = 3160121^2 + 184596^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020440417857 - 2²⁷ = 10020306200129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10020440417807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010220208928 + 5010220208929.

It is an arithmetic number, because the mean of its divisors is an integer number (5010220208929).

Almost surely, 2^{10020440417857} is an apocalyptic number.

It is an amenable number.

10020440417857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020440417857 is an equidigital number, since it uses as much as digits as its factorization.

10020440417857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 250880, while the sum is 43.

Adding to 10020440417857 its reverse (75871404402001), we get a palindrome (85891844819858).

The spelling of 10020440417857 in words is "ten trillion, twenty billion, four hundred forty million, four hundred seventeen thousand, eight hundred fifty-seven".