9864385440 has 384 divisors, whose sum is σ = 38974182912. Its totient is φ = 2041528320.

The previous prime is 9864385417. The next prime is 9864385463. The reversal of 9864385440 is 445834689.

9864385440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9864385417) and next prime (9864385463).

It is a super-2 number, since 2×9864385440² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2312910 + ... + 2317170.

It is an arithmetic number, because the mean of its divisors is an integer number (101495268).

Almost surely, 2^9864385440 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 9864385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19487091456).

9864385440 is an abundant number, since it is smaller than the sum of its proper divisors (29109797472).

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

9864385440 is a wasteful number, since it uses less digits than its factorization.

9864385440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The square root of 9864385440 is about 99319.6125646894. The cubic root of 9864385440 is about 2144.6512394759.

The spelling of 9864385440 in words is "nine billion, eight hundred sixty-four million, three hundred eighty-five thousand, four hundred forty".