21342411424312 has 192 divisors, whose sum is σ = 48249027440640. Its totient is φ = 8746120857600.

The previous prime is 21342411424307. The next prime is 21342411424351.

21342411424312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 159716487 + ... + 159850057.

It is an arithmetic number, because the mean of its divisors is an integer number (251297017920).

Almost surely, 2^{21342411424312} is an apocalyptic number.

21342411424312 is a gapful number since it is divisible by the number (22) 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 21342411424312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24124513720320).

21342411424312 is an abundant number, since it is smaller than the sum of its proper divisors (26906616016328).

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

21342411424312 is a wasteful number, since it uses less digits than its factorization.

21342411424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133790 (or 133757 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 2134241 and 1424312, that added together give a palindrome (3558553).

The spelling of 21342411424312 in words is "twenty-one trillion, three hundred forty-two billion, four hundred eleven million, four hundred twenty-four thousand, three hundred twelve".