9927441388800 has 4320 divisors, whose sum is σ = 44721560970240. Its totient is φ = 2149908480000.

The previous prime is 9927441388783. The next prime is 9927441388807. The reversal of 9927441388800 is 88831447299.

9927441388800 is a `hidden beast` number, since 99 + 27 + 441 + 3 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9927441388807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 162744940770 + ... + 162744940830.

Almost surely, 2^{9927441388800} is an apocalyptic number.

9927441388800 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 9927441388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22360780485120).

9927441388800 is an abundant number, since it is smaller than the sum of its proper divisors (34794119581440).

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

9927441388800 is a wasteful number, since it uses less digits than its factorization.

9927441388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 9927441388800 in words is "nine trillion, nine hundred twenty-seven billion, four hundred forty-one million, three hundred eighty-eight thousand, eight hundred".