1994013072000 has 512 divisors, whose sum is σ = 7372347840000. Its totient is φ = 529729228800.

The previous prime is 1994013071971. The next prime is 1994013072001. The reversal of 1994013072000 is 2703104991.

1994013072000 is a `hidden beast` number, since 19 + 9 + 401 + 30 + 7 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1994013072001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116199421 + ... + 116216579.

It is an arithmetic number, because the mean of its divisors is an integer number (14399116875).

Almost surely, 2^{1994013072000} is an apocalyptic number.

1994013072000 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 1994013072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686173920000).

1994013072000 is an abundant number, since it is smaller than the sum of its proper divisors (5378334768000).

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

1994013072000 is a wasteful number, since it uses less digits than its factorization.

1994013072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17466 (or 17438 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Adding to 1994013072000 its reverse (2703104991), we get a palindrome (1996716176991).

The spelling of 1994013072000 in words is "one trillion, nine hundred ninety-four billion, thirteen million, seventy-two thousand".