21666214324340 has 48 divisors (see below), whose sum is σ = 45676766903040. Its totient is φ = 8632694256000.

The previous prime is 21666214324303. The next prime is 21666214324343. The reversal of 21666214324340 is 4342341266612.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21666214324291 and 21666214324300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21666214324343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3988679 + ... + 7696881.

It is an arithmetic number, because the mean of its divisors is an integer number (951599310480).

Almost surely, 2^{21666214324340} is an apocalyptic number.

21666214324340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21666214324340 is an abundant number, since it is smaller than the sum of its proper divisors (24010552578700).

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

21666214324340 is a wasteful number, since it uses less digits than its factorization.

21666214324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709352 (or 3709350 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 44.

The spelling of 21666214324340 in words is "twenty-one trillion, six hundred sixty-six billion, two hundred fourteen million, three hundred twenty-four thousand, three hundred forty".