21819404164416 has 448 divisors, whose sum is σ = 63543045888000. Its totient is φ = 6584200888320.

The previous prime is 21819404164403. The next prime is 21819404164427. The reversal of 21819404164416 is 61446140491812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1424328405 + ... + 1424343723.

It is an arithmetic number, because the mean of its divisors is an integer number (141837156000).

Almost surely, 2^{21819404164416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21819404164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31771522944000).

21819404164416 is an abundant number, since it is smaller than the sum of its proper divisors (41723641723584).

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

21819404164416 is a wasteful number, since it uses less digits than its factorization.

21819404164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15590 (or 15580 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 21819404164416 in words is "twenty-one trillion, eight hundred nineteen billion, four hundred four million, one hundred sixty-four thousand, four hundred sixteen".