10000993444000 has 1152 divisors, whose sum is σ = 29944129662720. Its totient is φ = 3260694528000.

The previous prime is 10000993443989. The next prime is 10000993444027. The reversal of 10000993444000 is 44439900001.

It is a super-2 number, since 2×10000993444000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 35590723860 + ... + 35590724140.

It is an arithmetic number, because the mean of its divisors is an integer number (25993168110).

Almost surely, 2^{10000993444000} is an apocalyptic number.

10000993444000 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 10000993444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14972064831360).

10000993444000 is an abundant number, since it is smaller than the sum of its proper divisors (19943136218720).

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

10000993444000 is a wasteful number, since it uses less digits than its factorization.

10000993444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 10000993444000 in words is "ten trillion, nine hundred ninety-three million, four hundred forty-four thousand".