4188340438814 has 24 divisors (see below), whose sum is σ = 7335394859160. Its totient is φ = 1788330160176.

The previous prime is 4188340438783. The next prime is 4188340438829.

4188340438814 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4188340438814.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 79412612 + ... + 79465335.

It is an arithmetic number, because the mean of its divisors is an integer number (305641452465).

Almost surely, 2^{4188340438814} is an apocalyptic number.

4188340438814 is a deficient number, since it is larger than the sum of its proper divisors (3147054420346).

4188340438814 is a wasteful number, since it uses less digits than its factorization.

4188340438814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158878232 (or 158878225 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 56.

The spelling of 4188340438814 in words is "four trillion, one hundred eighty-eight billion, three hundred forty million, four hundred thirty-eight thousand, eight hundred fourteen".