21344234401440 has 288 divisors, whose sum is σ = 73232566767360. Its totient is φ = 5660920645632.

The previous prime is 21344234401421. The next prime is 21344234401447. The reversal of 21344234401440 is 4410443244312.

21344234401440 is a `hidden beast` number, since 2 + 1 + 3 + 442 + 34 + 40 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×21344234401440³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 21344234401395 and 21344234401404.

It is not an unprimeable number, because it can be changed into a prime (21344234401447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 924501577 + ... + 924524663.

It is an arithmetic number, because the mean of its divisors is an integer number (254279745720).

Almost surely, 2^{21344234401440} is an apocalyptic number.

21344234401440 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 21344234401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36616283383680).

21344234401440 is an abundant number, since it is smaller than the sum of its proper divisors (51888332365920).

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

21344234401440 is a wasteful number, since it uses less digits than its factorization.

21344234401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26564 (or 26553 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 21344234401440 its reverse (4410443244312), we get a palindrome (25754677645752).

The spelling of 21344234401440 in words is "twenty-one trillion, three hundred forty-four billion, two hundred thirty-four million, four hundred one thousand, four hundred forty".