21344102414244 has 288 divisors, whose sum is σ = 61057778745600. Its totient is φ = 6246482780160.

The previous prime is 21344102414233. The next prime is 21344102414273. The reversal of 21344102414244 is 44241420144312.

21344102414244 is a `hidden beast` number, since 2 + 13 + 441 + 0 + 24 + 142 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21344102414199 and 21344102414208.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 667884714 + ... + 667916670.

It is an arithmetic number, because the mean of its divisors is an integer number (212006176200).

Almost surely, 2^{21344102414244} 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 21344102414244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30528889372800).

21344102414244 is an abundant number, since it is smaller than the sum of its proper divisors (39713676331356).

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

21344102414244 is a wasteful number, since it uses less digits than its factorization.

21344102414244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32883 (or 32878 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 21344102414244 its reverse (44241420144312), we get a palindrome (65585522558556).

The spelling of 21344102414244 in words is "twenty-one trillion, three hundred forty-four billion, one hundred two million, four hundred fourteen thousand, two hundred forty-four".