21442333324412 has 96 divisors (see below), whose sum is σ = 50637733977600. Its totient is φ = 7672383371520.

The previous prime is 21442333324411. The next prime is 21442333324427.

21442333324412 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21442333324411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12803162 + ... + 14380737.

It is an arithmetic number, because the mean of its divisors is an integer number (527476395600).

Almost surely, 2^{21442333324412} is an apocalyptic number.

21442333324412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21442333324412 is an abundant number, since it is smaller than the sum of its proper divisors (29195400653188).

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

21442333324412 is a wasteful number, since it uses less digits than its factorization.

21442333324412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27184131 (or 27184129 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 2144233 and 3324412, that added together give a palindrome (5468645).

The spelling of 21442333324412 in words is "twenty-one trillion, four hundred forty-two billion, three hundred thirty-three million, three hundred twenty-four thousand, four hundred twelve".