16122644214400 has 192 divisors, whose sum is σ = 40153130035200. Its totient is φ = 6396594278400.

The previous prime is 16122644214289. The next prime is 16122644214407. The reversal of 16122644214400 is 441244622161.

It is a self number, because there is not a number n which added to its sum of digits gives 16122644214400.

It is not an unprimeable number, because it can be changed into a prime (16122644214407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221797261 + ... + 221869939.

It is an arithmetic number, because the mean of its divisors is an integer number (209130885600).

Almost surely, 2^{16122644214400} is an apocalyptic number.

16122644214400 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 16122644214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20076565017600).

16122644214400 is an abundant number, since it is smaller than the sum of its proper divisors (24030485820800).

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

16122644214400 is a wasteful number, since it uses less digits than its factorization.

16122644214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73267 (or 73250 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 16122644214400 its reverse (441244622161), we get a palindrome (16563888836561).

The spelling of 16122644214400 in words is "sixteen trillion, one hundred twenty-two billion, six hundred forty-four million, two hundred fourteen thousand, four hundred".