4128805741824 has 216 divisors, whose sum is σ = 12118745184000. Its totient is φ = 1351532666880.

The previous prime is 4128805741789. The next prime is 4128805741831. The reversal of 4128805741824 is 4281475088214.

4128805741824 is a `hidden beast` number, since 4 + 128 + 80 + 5 + 7 + 418 + 24 = 666.

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 23 ways as a sum of consecutive naturals, for example, 134697252 + ... + 134727900.

Almost surely, 2^{4128805741824} 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 4128805741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059372592000).

4128805741824 is an abundant number, since it is smaller than the sum of its proper divisors (7989939442176).

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

4128805741824 is a wasteful number, since it uses less digits than its factorization.

4128805741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31721 (or 31704 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 4128805741824 in words is "four trillion, one hundred twenty-eight billion, eight hundred five million, seven hundred forty-one thousand, eight hundred twenty-four".