8042128800 has 288 divisors, whose sum is σ = 27841968000. Its totient is φ = 2009333760.

The previous prime is 8042128799. The next prime is 8042128811. The reversal of 8042128800 is 88212408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17910976 + ... + 17911424.

It is an arithmetic number, because the mean of its divisors is an integer number (96673500).

Almost surely, 2^8042128800 is an apocalyptic number.

8042128800 is a gapful number since it is divisible by the number (80) 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 8042128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920984000).

8042128800 is an abundant number, since it is smaller than the sum of its proper divisors (19799839200).

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

8042128800 is a wasteful number, since it uses less digits than its factorization.

8042128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 8042128800 is about 89677.9170141680. The cubic root of 8042128800 is about 2003.5045886755.

The spelling of 8042128800 in words is "eight billion, forty-two million, one hundred twenty-eight thousand, eight hundred".