9844788470400 has 1152 divisors, whose sum is σ = 41297422420800. Its totient is φ = 2295743938560.

The previous prime is 9844788470327. The next prime is 9844788470417. The reversal of 9844788470400 is 40748874489.

9844788470400 is a `hidden beast` number, since 9 + 8 + 4 + 47 + 88 + 470 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 192041572 + ... + 192092828.

Almost surely, 2^{9844788470400} is an apocalyptic number.

9844788470400 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 9844788470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20648711210400).

9844788470400 is an abundant number, since it is smaller than the sum of its proper divisors (31452633950400).

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

9844788470400 is a wasteful number, since it uses less digits than its factorization.

9844788470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51328 (or 51299 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 9844788470400 in words is "nine trillion, eight hundred forty-four billion, seven hundred eighty-eight million, four hundred seventy thousand, four hundred".