16330389944400 has 5040 divisors, whose sum is σ = 79248878223360. Its totient is φ = 3152303308800.

The previous prime is 16330389944399. The next prime is 16330389944413. The reversal of 16330389944400 is 444998303361.

It is a happy number.

16330389944400 is a `hidden beast` number, since 1 + 6 + 3 + 30 + 3 + 89 + 94 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 347455105177 + ... + 347455105223.

Almost surely, 2^{16330389944400} is an apocalyptic number.

16330389944400 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 16330389944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39624439111680).

16330389944400 is an abundant number, since it is smaller than the sum of its proper divisors (62918488278960).

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

16330389944400 is a wasteful number, since it uses less digits than its factorization.

16330389944400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 16330389944400 in words is "sixteen trillion, three hundred thirty billion, three hundred eighty-nine million, nine hundred forty-four thousand, four hundred".