16442400000 has 864 divisors, whose sum is σ = 64381879296. Its totient is φ = 3686400000.

The previous prime is 16442399971. The next prime is 16442400041. The reversal of 16442400000 is 424461.

It is a super-3 number, since 3×16442400000³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16442400000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 530399985 + ... + 530400015.

It is an arithmetic number, because the mean of its divisors is an integer number (74516064).

Almost surely, 2^16442400000 is an apocalyptic number.

16442400000 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 16442400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32190939648).

16442400000 is an abundant number, since it is smaller than the sum of its proper divisors (47939479296).

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

16442400000 is an equidigital number, since it uses as much as digits as its factorization.

16442400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 16442400000 its reverse (424461), we get a palindrome (16442824461).

The spelling of 16442400000 in words is "sixteen billion, four hundred forty-two million, four hundred thousand".