9867442291200 has 1440 divisors, whose sum is σ = 39949855545600. Its totient is φ = 2397386833920.

The previous prime is 9867442291129. The next prime is 9867442291243. The reversal of 9867442291200 is 21922447689.

It is a happy number.

9867442291200 is a `hidden beast` number, since 9 + 8 + 6 + 7 + 4 + 422 + 9 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3194379256 + ... + 3194382344.

It is an arithmetic number, because the mean of its divisors is an integer number (27742955240).

Almost surely, 2^{9867442291200} is an apocalyptic number.

9867442291200 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 9867442291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19974927772800).

9867442291200 is an abundant number, since it is smaller than the sum of its proper divisors (30082413254400).

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

9867442291200 is a wasteful number, since it uses less digits than its factorization.

9867442291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 9867442291200 in words is "nine trillion, eight hundred sixty-seven billion, four hundred forty-two million, two hundred ninety-one thousand, two hundred".