21522331340240 has 80 divisors (see below), whose sum is σ = 51766182265680. Its totient is φ = 8311869726720.

The previous prime is 21522331340231. The next prime is 21522331340309. The reversal of 21522331340240 is 4204313322512.

It can be written as a sum of positive squares in 8 ways, for example, as 1594249668496 + 19928081671744 = 1262636^2 + 4464088^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21522331340197 and 21522331340206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124304930 + ... + 124477950.

It is an arithmetic number, because the mean of its divisors is an integer number (647077278321).

Almost surely, 2^{21522331340240} is an apocalyptic number.

21522331340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21522331340240 is an abundant number, since it is smaller than the sum of its proper divisors (30243850925440).

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

21522331340240 is a wasteful number, since it uses less digits than its factorization.

21522331340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226680 (or 226674 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 21522331340240 its reverse (4204313322512), we get a palindrome (25726644662752).

The spelling of 21522331340240 in words is "twenty-one trillion, five hundred twenty-two billion, three hundred thirty-one million, three hundred forty thousand, two hundred forty".