9942881424768 has 320 divisors, whose sum is σ = 31871595729600. Its totient is φ = 3066834742272.

The previous prime is 9942881424757. The next prime is 9942881424779. The reversal of 9942881424768 is 8674241882499.

It is a happy number.

9942881424768 is a `hidden beast` number, since 9 + 9 + 4 + 2 + 8 + 8 + 142 + 476 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9942881424757) and next prime (9942881424779).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9942881424696 and 9942881424705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7883755 + ... + 9057557.

It is an arithmetic number, because the mean of its divisors is an integer number (99598736655).

Almost surely, 2^{9942881424768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9942881424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15935797864800).

9942881424768 is an abundant number, since it is smaller than the sum of its proper divisors (21928714304832).

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

9942881424768 is a wasteful number, since it uses less digits than its factorization.

9942881424768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173891 (or 1173870 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 9942881424768 in words is "nine trillion, nine hundred forty-two billion, eight hundred eighty-one million, four hundred twenty-four thousand, seven hundred sixty-eight".