8442109408257 has 48 divisors (see below), whose sum is σ = 14743381120000. Its totient is φ = 4547198712672.

The previous prime is 8442109408237. The next prime is 8442109408331. The reversal of 8442109408257 is 7528049012448.

8442109408257 is a `hidden beast` number, since 8 + 4 + 421 + 0 + 94 + 0 + 82 + 57 = 666.

It is not a de Polignac number, because 8442109408257 - 2⁶ = 8442109408193 is a prime.

It is a super-2 number, since 2×8442109408257² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8442109408237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17482207 + ... + 17958612.

Almost surely, 2^{8442109408257} is an apocalyptic number.

It is an amenable number.

8442109408257 is a deficient number, since it is larger than the sum of its proper divisors (6301271711743).

8442109408257 is a wasteful number, since it uses less digits than its factorization.

8442109408257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35441050 (or 35441047 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 8442109408257 in words is "eight trillion, four hundred forty-two billion, one hundred nine million, four hundred eight thousand, two hundred fifty-seven".