4158538180830 has 576 divisors, whose sum is σ = 13615243499520. Its totient is φ = 869858611200.

The previous prime is 4158538180763. The next prime is 4158538180871. The reversal of 4158538180830 is 380818358514.

4158538180830 is a `hidden beast` number, since 4 + 15 + 8 + 538 + 18 + 0 + 83 + 0 = 666.

4158538180830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4158538180830³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 168506452 + ... + 168531128.

It is an arithmetic number, because the mean of its divisors is an integer number (23637575520).

Almost surely, 2^{4158538180830} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4158538180830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807621749760).

4158538180830 is an abundant number, since it is smaller than the sum of its proper divisors (9456705318690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4158538180830 is a wasteful number, since it uses less digits than its factorization.

4158538180830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24785 (or 24765 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 4158538180830 in words is "four trillion, one hundred fifty-eight billion, five hundred thirty-eight million, one hundred eighty thousand, eight hundred thirty".