21334343414120 has 768 divisors, whose sum is σ = 57935918476800. Its totient is φ = 7042703360000.

The previous prime is 21334343414119. The next prime is 21334343414141. The reversal of 21334343414120 is 2141434343312.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84997383995 + ... + 84997384245.

It is an arithmetic number, because the mean of its divisors is an integer number (75437393850).

Almost surely, 2^{21334343414120} is an apocalyptic number.

21334343414120 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 21334343414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28967959238400).

21334343414120 is an abundant number, since it is smaller than the sum of its proper divisors (36601575062680).

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

21334343414120 is a wasteful number, since it uses less digits than its factorization.

21334343414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 21334343414120 its reverse (2141434343312), we get a palindrome (23475777757432).

The spelling of 21334343414120 in words is "twenty-one trillion, three hundred thirty-four billion, three hundred forty-three million, four hundred fourteen thousand, one hundred twenty".