1128042384000 has 1024 divisors, whose sum is σ = 4532307886080. Its totient is φ = 242694144000.

The previous prime is 1128042383999. The next prime is 1128042384023. The reversal of 1128042384000 is 4832408211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 385390537 + ... + 385393463.

It is an arithmetic number, because the mean of its divisors is an integer number (4426081920).

Almost surely, 2^{1128042384000} is an apocalyptic number.

1128042384000 is a gapful number since it is divisible by the number (10) 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 1128042384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266153943040).

1128042384000 is an abundant number, since it is smaller than the sum of its proper divisors (3404265502080).

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

1128042384000 is a wasteful number, since it uses less digits than its factorization.

1128042384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 1128042384000 in words is "one trillion, one hundred twenty-eight billion, forty-two million, three hundred eighty-four thousand".