9940422884400 has 180 divisors, whose sum is σ = 34503032975320. Its totient is φ = 2650241203200.

The previous prime is 9940422884297. The next prime is 9940422884423. The reversal of 9940422884400 is 44882240499.

It is a happy number.

9940422884400 is a `hidden beast` number, since 9 + 9 + 4 + 0 + 4 + 228 + 8 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17610555 + ... + 18166245.

Almost surely, 2^{9940422884400} is an apocalyptic number.

9940422884400 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 9940422884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17251516487660).

9940422884400 is an abundant number, since it is smaller than the sum of its proper divisors (24562610090920).

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

9940422884400 is a wasteful number, since it uses less digits than its factorization.

9940422884400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560684 (or 560670 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 9940422884400 in words is "nine trillion, nine hundred forty billion, four hundred twenty-two million, eight hundred eighty-four thousand, four hundred".