4128186816 has 224 divisors, whose sum is σ = 13181665280. Its totient is φ = 1259338752.

The previous prime is 4128186793. The next prime is 4128186863. The reversal of 4128186816 is 6186818214.

4128186816 is a `hidden beast` number, since 412 + 81 + 86 + 81 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2852205 + ... + 2853651.

It is an arithmetic number, because the mean of its divisors is an integer number (58846720).

Almost surely, 2^4128186816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4128186816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590832640).

4128186816 is an abundant number, since it is smaller than the sum of its proper divisors (9053478464).

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

4128186816 is a wasteful number, since it uses less digits than its factorization.

4128186816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1592 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 4128186816 is about 64250.9674324052. The cubic root of 4128186816 is about 1604.1800615847.

The spelling of 4128186816 in words is "four billion, one hundred twenty-eight million, one hundred eighty-six thousand, eight hundred sixteen".