16243410442400 has 144 divisors (see below), whose sum is σ = 39953224080000. Its totient is φ = 6448484597760.

The previous prime is 16243410442297. The next prime is 16243410442411. The reversal of 16243410442400 is 424401434261.

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 23 ways as a sum of consecutive naturals, for example, 93670976 + ... + 93844224.

It is an arithmetic number, because the mean of its divisors is an integer number (277452945000).

Almost surely, 2^{16243410442400} is an apocalyptic number.

16243410442400 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 16243410442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19976612040000).

16243410442400 is an abundant number, since it is smaller than the sum of its proper divisors (23709813637600).

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

16243410442400 is a wasteful number, since it uses less digits than its factorization.

16243410442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174151 (or 174138 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 16243410442400 its reverse (424401434261), we get a palindrome (16667811876661).

The spelling of 16243410442400 in words is "sixteen trillion, two hundred forty-three billion, four hundred ten million, four hundred forty-two thousand, four hundred".