21424433442412 has 384 divisors, whose sum is σ = 51947929313280. Its totient is φ = 7461974016000.

The previous prime is 21424433442397. The next prime is 21424433442421.

21424433442412 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14992604914 + ... + 14992606342.

It is an arithmetic number, because the mean of its divisors is an integer number (135281065920).

Almost surely, 2^{21424433442412} is an apocalyptic number.

21424433442412 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 21424433442412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25973964656640).

21424433442412 is an abundant number, since it is smaller than the sum of its proper divisors (30523495870868).

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

21424433442412 is a wasteful number, since it uses less digits than its factorization.

21424433442412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2111 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 2142443 and 3442412, that added together give a palindrome (5584855).

The spelling of 21424433442412 in words is "twenty-one trillion, four hundred twenty-four billion, four hundred thirty-three million, four hundred forty-two thousand, four hundred twelve".