21342241342440 has 288 divisors, whose sum is σ = 73843821843480. Its totient is φ = 5344751222784.

The previous prime is 21342241342439. The next prime is 21342241342441. The reversal of 21342241342440 is 4424314224312.

21342241342440 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 224 + 1 + 3 + 424 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21342241342439) and next prime (21342241342441).

It can be written as a sum of positive squares in 12 ways, for example, as 10201853193156 + 11140388149284 = 3194034^2 + 3337722^2 .

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 = 21342241342395 and 21342241342404.

It is not an unprimeable number, because it can be changed into a prime (21342241342441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47321844 + ... + 47770716.

Almost surely, 2^{21342241342440} is an apocalyptic number.

21342241342440 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 21342241342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36921910921740).

21342241342440 is an abundant number, since it is smaller than the sum of its proper divisors (52501580501040).

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

21342241342440 is a wasteful number, since it uses less digits than its factorization.

21342241342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449381 (or 449357 counting only the distinct ones).

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

Adding to 21342241342440 its reverse (4424314224312), we get a palindrome (25766555566752).

The spelling of 21342241342440 in words is "twenty-one trillion, three hundred forty-two billion, two hundred forty-one million, three hundred forty-two thousand, four hundred forty".