21444120422208 has 448 divisors, whose sum is σ = 71255431987200. Its totient is φ = 6264340346880.

The previous prime is 21444120422191. The next prime is 21444120422299. The reversal of 21444120422208 is 80222402144412.

21444120422208 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 4 + 1 + 20 + 422 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 356617041 + ... + 356677167.

Almost surely, 2^{21444120422208} 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 21444120422208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35627715993600).

21444120422208 is an abundant number, since it is smaller than the sum of its proper divisors (49811311564992).

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

21444120422208 is a wasteful number, since it uses less digits than its factorization.

21444120422208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60835 (or 60819 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 21444120422208 in words is "twenty-one trillion, four hundred forty-four billion, one hundred twenty million, four hundred twenty-two thousand, two hundred eight".