21434144143412 has 192 divisors, whose sum is σ = 53361228501504. Its totient is φ = 7250243420160.

The previous prime is 21434144143351. The next prime is 21434144143417.

21434144143412 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 (21434144143417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101520068 + ... + 101730980.

It is an arithmetic number, because the mean of its divisors is an integer number (277923065112).

Almost surely, 2^{21434144143412} is an apocalyptic number.

21434144143412 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 21434144143412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26680614250752).

21434144143412 is an abundant number, since it is smaller than the sum of its proper divisors (31927084358092).

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

21434144143412 is a wasteful number, since it uses less digits than its factorization.

21434144143412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212458 (or 212456 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

It can be divided in two parts, 2143414 and 4143412, that added together give a palindrome (6286826).

The spelling of 21434144143412 in words is "twenty-one trillion, four hundred thirty-four billion, one hundred forty-four million, one hundred forty-three thousand, four hundred twelve".