12438100416 has 336 divisors, whose sum is σ = 40654224000. Its totient is φ = 3336947712.

The previous prime is 12438100387. The next prime is 12438100459. The reversal of 12438100416 is 61400183421.

12438100416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26633815 + ... + 26634281.

Almost surely, 2^12438100416 is an apocalyptic number.

12438100416 is a gapful number since it is divisible by the number (16) 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 12438100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327112000).

12438100416 is an abundant number, since it is smaller than the sum of its proper divisors (28216123584).

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

12438100416 is a wasteful number, since it uses less digits than its factorization.

12438100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 12438100416 its reverse (61400183421), we get a palindrome (73838283837).

The spelling of 12438100416 in words is "twelve billion, four hundred thirty-eight million, one hundred thousand, four hundred sixteen".