4116134658321 has 36 divisors (see below), whose sum is σ = 6958657220112. Its totient is φ = 2337646986864.

The previous prime is 4116134658299. The next prime is 4116134658347. The reversal of 4116134658321 is 1238564316114.

It is a happy number.

4116134658321 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 1 + 3 + 46 + 583 + 21 = 666.

It is not a de Polignac number, because 4116134658321 - 2¹⁴ = 4116134641937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4116134658371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28558911 + ... + 28702676.

It is an arithmetic number, because the mean of its divisors is an integer number (193296033892).

Almost surely, 2^{4116134658321} is an apocalyptic number.

It is an amenable number.

4116134658321 is a deficient number, since it is larger than the sum of its proper divisors (2842522561791).

4116134658321 is a wasteful number, since it uses less digits than its factorization.

4116134658321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57261770 (or 57261760 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 4116134658321 in words is "four trillion, one hundred sixteen billion, one hundred thirty-four million, six hundred fifty-eight thousand, three hundred twenty-one".