9942110380800 has 1728 divisors, whose sum is σ = 41773492575360. Its totient is φ = 2292103249920.

The previous prime is 9942110380799. The next prime is 9942110380837. The reversal of 9942110380800 is 80830112499.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×9942110380800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9814521094 + ... + 9814522106.

It is an arithmetic number, because the mean of its divisors is an integer number (24174474870).

Almost surely, 2^{9942110380800} is an apocalyptic number.

9942110380800 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 9942110380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20886746287680).

9942110380800 is an abundant number, since it is smaller than the sum of its proper divisors (31831382194560).

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

9942110380800 is a wasteful number, since it uses less digits than its factorization.

9942110380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 9942110380800 in words is "nine trillion, nine hundred forty-two billion, one hundred ten million, three hundred eighty thousand, eight hundred".