9340128000 has 864 divisors, whose sum is σ = 39694741632. Its totient is φ = 2064384000.

The previous prime is 9340127987. The next prime is 9340128001. The reversal of 9340128000 is 8210439.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9340128001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 82655944 + ... + 82656056.

It is an arithmetic number, because the mean of its divisors is an integer number (45942988).

Almost surely, 2^9340128000 is an apocalyptic number.

9340128000 is a gapful number since it is divisible by the number (90) 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 9340128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19847370816).

9340128000 is an abundant number, since it is smaller than the sum of its proper divisors (30354613632).

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

9340128000 is a wasteful number, since it uses less digits than its factorization.

9340128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9340128000 is about 96644.3376509974. The cubic root of 9340128000 is about 2105.9639985945.

Adding to 9340128000 its reverse (8210439), we get a palindrome (9348338439).

The spelling of 9340128000 in words is "nine billion, three hundred forty million, one hundred twenty-eight thousand".