9942071368320 has 1152 divisors, whose sum is σ = 43101838765440. Its totient is φ = 2093108871168.

The previous prime is 9942071368301. The next prime is 9942071368357. The reversal of 9942071368320 is 238631702499.

9942071368320 is a `hidden beast` number, since 9 + 9 + 420 + 7 + 136 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1845564667 + ... + 1845570053.

It is an arithmetic number, because the mean of its divisors is an integer number (37414790595).

Almost surely, 2^{9942071368320} is an apocalyptic number.

9942071368320 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 9942071368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21550919382720).

9942071368320 is an abundant number, since it is smaller than the sum of its proper divisors (33159767397120).

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

9942071368320 is a wasteful number, since it uses less digits than its factorization.

9942071368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 9942071368320 in words is "nine trillion, nine hundred forty-two billion, seventy-one million, three hundred sixty-eight thousand, three hundred twenty".