9940384800 has 360 divisors, whose sum is σ = 36558566352. Its totient is φ = 2628288000.

The previous prime is 9940384771. The next prime is 9940384801. The reversal of 9940384800 is 84830499.

It is a happy number.

9940384800 is a `hidden beast` number, since 99 + 403 + 84 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×9940384800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9940384801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8488215 + ... + 8489385.

Almost surely, 2^9940384800 is an apocalyptic number.

9940384800 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 9940384800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18279283176).

9940384800 is an abundant number, since it is smaller than the sum of its proper divisors (26618181552).

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

9940384800 is a wasteful number, since it uses less digits than its factorization.

9940384800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9940384800 is about 99701.4784243443. The cubic root of 9940384800 is about 2150.1449190220.

The spelling of 9940384800 in words is "nine billion, nine hundred forty million, three hundred eighty-four thousand, eight hundred".