9401305244800 has 576 divisors, whose sum is σ = 28329278774400. Its totient is φ = 3019115151360.

The previous prime is 9401305244699. The next prime is 9401305244803. The reversal of 9401305244800 is 84425031049.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (9401305244803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 719683069 + ... + 719696131.

It is an arithmetic number, because the mean of its divisors is an integer number (49182775650).

Almost surely, 2^{9401305244800} 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 9401305244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14164639387200).

9401305244800 is an abundant number, since it is smaller than the sum of its proper divisors (18927973529600).

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

9401305244800 is a wasteful number, since it uses less digits than its factorization.

9401305244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13221 (or 13185 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 9401305244800 in words is "nine trillion, four hundred one billion, three hundred five million, two hundred forty-four thousand, eight hundred".