9840144384 has 520 divisors, whose sum is σ = 35521418240. Its totient is φ = 2651553792.

The previous prime is 9840144373. The next prime is 9840144397. The reversal of 9840144384 is 4834410489.

9840144384 is a `hidden beast` number, since 98 + 40 + 1 + 443 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44126097 + ... + 44126319.

Almost surely, 2^9840144384 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 9840144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17760709120).

9840144384 is an abundant number, since it is smaller than the sum of its proper divisors (25681273856).

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

9840144384 is a wasteful number, since it uses less digits than its factorization.

9840144384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 9840144384 is about 99197.5019040298. The cubic root of 9840144384 is about 2142.8930202907.

The spelling of 9840144384 in words is "nine billion, eight hundred forty million, one hundred forty-four thousand, three hundred eighty-four".