4117117461 has 8 divisors (see below), whose sum is σ = 5728163520. Its totient is φ = 2625408192.

The previous prime is 4117117453. The next prime is 4117117463. The reversal of 4117117461 is 1647117114.

4117117461 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4117117461 - 2³ = 4117117453 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117117463) 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 in 7 ways as a sum of consecutive naturals, for example, 29834116 + ... + 29834253.

It is an arithmetic number, because the mean of its divisors is an integer number (716020440).

Almost surely, 2^4117117461 is an apocalyptic number.

It is an amenable number.

4117117461 is a deficient number, since it is larger than the sum of its proper divisors (1611046059).

4117117461 is a wasteful number, since it uses less digits than its factorization.

4117117461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59668395.

The product of its digits is 4704, while the sum is 33.

The square root of 4117117461 is about 64164.7680662839. The cubic root of 4117117461 is about 1602.7449574633.

The spelling of 4117117461 in words is "four billion, one hundred seventeen million, one hundred seventeen thousand, four hundred sixty-one".