4257117466100 has 36 divisors (see below), whose sum is σ = 9238038938604. Its totient is φ = 1702829652480.

The previous prime is 4257117466093. The next prime is 4257117466169. The reversal of 4257117466100 is 16647117524.

It can be written as a sum of positive squares in 6 ways, for example, as 149915536 + 4256967550564 = 12244^2 + 2063242^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14910284 + ... + 15193116.

It is an arithmetic number, because the mean of its divisors is an integer number (256612192739).

Almost surely, 2^{4257117466100} is an apocalyptic number.

It is an amenable number.

4257117466100 is an abundant number, since it is smaller than the sum of its proper divisors (4980921472504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4257117466100 is a wasteful number, since it uses less digits than its factorization.

4257117466100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433364 (or 433357 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 4257117466100 in words is "four trillion, two hundred fifty-seven billion, one hundred seventeen million, four hundred sixty-six thousand, one hundred".