21416079318000 has 640 divisors, whose sum is σ = 71818427326464. Its totient is φ = 5486519296000.

The previous prime is 21416079317929. The next prime is 21416079318047. The reversal of 21416079318000 is 81397061412.

It is a happy number.

It is a Cunningham number, because it is equal to 4627751²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4553703649 + ... + 4553708351.

Almost surely, 2^{21416079318000} is an apocalyptic number.

21416079318000 is a gapful number since it is divisible by the number (20) 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 21416079318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35909213663232).

21416079318000 is an abundant number, since it is smaller than the sum of its proper divisors (50402348008464).

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

21416079318000 is a wasteful number, since it uses less digits than its factorization.

21416079318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 21416079318000 in words is "twenty-one trillion, four hundred sixteen billion, seventy-nine million, three hundred eighteen thousand".