4117319819 has 8 divisors (see below), whose sum is σ = 4145471280. Its totient is φ = 4089193056.

The previous prime is 4117319771. The next prime is 4117319849. The reversal of 4117319819 is 9189137114.

4117319819 is digitally balanced in base 2, 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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4117319819 is a prime.

It is a super-2 number, since 2×4117319819² = 33904644983860385522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4117319819.

It is not an unprimeable number, because it can be changed into a prime (4117319849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433172 + ... + 442574.

It is an arithmetic number, because the mean of its divisors is an integer number (518183910).

Almost surely, 2^4117319819 is an apocalyptic number.

4117319819 is a deficient number, since it is larger than the sum of its proper divisors (28151461).

4117319819 is a wasteful number, since it uses less digits than its factorization.

4117319819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12349.

The product of its digits is 54432, while the sum is 44.

The square root of 4117319819 is about 64166.3449091500. The cubic root of 4117319819 is about 1602.7712155556.

The spelling of 4117319819 in words is "four billion, one hundred seventeen million, three hundred nineteen thousand, eight hundred nineteen".