57438141417 has 40 divisors (see below), whose sum is σ = 91227368232. Its totient is φ = 35889868800.

The previous prime is 57438141403. The next prime is 57438141461. The reversal of 57438141417 is 71414183475.

57438141417 is a `hidden beast` number, since 57 + 43 + 8 + 141 + 417 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43375976361 + 14062165056 = 208269^2 + 118584^2 .

It is not a de Polignac number, because 57438141417 - 2⁶ = 57438141353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57438141517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245317 + ... + 418397.

Almost surely, 2^57438141417 is an apocalyptic number.

It is an amenable number.

57438141417 is a deficient number, since it is larger than the sum of its proper divisors (33789226815).

57438141417 is a wasteful number, since it uses less digits than its factorization.

57438141417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173351 (or 173342 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 57438141417 in words is "fifty-seven billion, four hundred thirty-eight million, one hundred forty-one thousand, four hundred seventeen".