1001942323200 has 1404 divisors, whose sum is σ = 4446014514240. Its totient is φ = 211168788480.

The previous prime is 1001942323183. The next prime is 1001942323201. The reversal of 1001942323200 is 23232491001.

It is a happy number.

1001942323200 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 9 + 423 + 232 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1001942323201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1090252341 + ... + 1090253259.

Almost surely, 2^{1001942323200} is an apocalyptic number.

1001942323200 is a gapful number since it is divisible by the number (10) 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 1001942323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223007257120).

1001942323200 is an abundant number, since it is smaller than the sum of its proper divisors (3444072191040).

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

1001942323200 is a wasteful number, since it uses less digits than its factorization.

1001942323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 1001942323200 in words is "one trillion, one billion, nine hundred forty-two million, three hundred twenty-three thousand, two hundred".