4186080000000 has 1920 divisors, whose sum is σ = 17419701499200. Its totient is φ = 995328000000.

The previous prime is 4186079999999. The next prime is 4186080000031. The reversal of 4186080000000 is 806814.

4186080000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 220319999991 + ... + 220320000009.

Almost surely, 2^{4186080000000} is an apocalyptic number.

4186080000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4186080000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709850749600).

4186080000000 is an abundant number, since it is smaller than the sum of its proper divisors (13233621499200).

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

4186080000000 is an frugal number, since it uses more digits than its factorization.

4186080000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 4186080000000 its reverse (806814), we get a palindrome (4186080806814).

The spelling of 4186080000000 in words is "four trillion, one hundred eighty-six billion, eighty million", and thus it is an aban number.