9941728320 has 448 divisors, whose sum is σ = 36442863360. Its totient is φ = 2549366784.

The previous prime is 9941728319. The next prime is 9941728327. The reversal of 9941728320 is 238271499.

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 (9941728327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43796047 + ... + 43796273.

Almost surely, 2^9941728320 is an apocalyptic number.

9941728320 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 9941728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18221431680).

9941728320 is an abundant number, since it is smaller than the sum of its proper divisors (26501135040).

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

9941728320 is a wasteful number, since it uses less digits than its factorization.

9941728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9941728320 is about 99708.2159102248. The cubic root of 9941728320 is about 2150.2417842381.

The spelling of 9941728320 in words is "nine billion, nine hundred forty-one million, seven hundred twenty-eight thousand, three hundred twenty".