9840333312 has 120 divisors (see below), whose sum is σ = 30070688076. Its totient is φ = 3087138816.

The previous prime is 9840333287. The next prime is 9840333341. The reversal of 9840333312 is 2133330489.

9840333312 is a `hidden beast` number, since 9 + 8 + 4 + 0 + 333 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9710919936 + 129413376 = 98544^2 + 11376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15528 + ... + 141144.

Almost surely, 2^9840333312 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 9840333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15035344038).

9840333312 is an abundant number, since it is smaller than the sum of its proper divisors (20230354764).

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

9840333312 is a wasteful number, since it uses less digits than its factorization.

9840333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125658 (or 125639 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 9840333312 is about 99198.4541815043. The cubic root of 9840333312 is about 2142.9067345171.

The spelling of 9840333312 in words is "nine billion, eight hundred forty million, three hundred thirty-three thousand, three hundred twelve".