9942781363200 has 1320 divisors, whose sum is σ = 42354223368512. Its totient is φ = 2257642782720.

The previous prime is 9942781363169. The next prime is 9942781363211. The reversal of 9942781363200 is 23631872499.

9942781363200 is a `hidden beast` number, since 9 + 9 + 4 + 2 + 78 + 1 + 363 + 200 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2278884219 + ... + 2278888581.

Almost surely, 2^{9942781363200} is an apocalyptic number.

9942781363200 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 9942781363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21177111684256).

9942781363200 is an abundant number, since it is smaller than the sum of its proper divisors (32411442005312).

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

9942781363200 is a wasteful number, since it uses less digits than its factorization.

9942781363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4537 counting only the distinct ones).

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

The spelling of 9942781363200 in words is "nine trillion, nine hundred forty-two billion, seven hundred eighty-one million, three hundred sixty-three thousand, two hundred".