1994337979200 has 1344 divisors, whose sum is σ = 9028920524800. Its totient is φ = 417888460800.

The previous prime is 1994337979171. The next prime is 1994337979237. The reversal of 1994337979200 is 29797334991.

1994337979200 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 337 + 97 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178108002 + ... + 178119198.

Almost surely, 2^{1994337979200} is an apocalyptic number.

1994337979200 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 1994337979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514460262400).

1994337979200 is an abundant number, since it is smaller than the sum of its proper divisors (7034582545600).

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

1994337979200 is a wasteful number, since it uses less digits than its factorization.

1994337979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11285 (or 11264 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 63.

The spelling of 1994337979200 in words is "one trillion, nine hundred ninety-four billion, three hundred thirty-seven million, nine hundred seventy-nine thousand, two hundred".