21424133142412 has 144 divisors (see below), whose sum is σ = 51463870553088. Its totient is φ = 7671038014080.

The previous prime is 21424133142407. The next prime is 21424133142413.

21424133142412 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (21424133142413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4678693 + ... + 8046019.

It is an arithmetic number, because the mean of its divisors is an integer number (357387989952).

Almost surely, 2^{21424133142412} is an apocalyptic number.

21424133142412 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 21424133142412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25731935276544).

21424133142412 is an abundant number, since it is smaller than the sum of its proper divisors (30039737410676).

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

21424133142412 is a wasteful number, since it uses less digits than its factorization.

21424133142412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367596 (or 3367587 counting only the distinct ones).

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

It can be divided in two parts, 2142413 and 3142412, that added together give a palindrome (5284825).

The spelling of 21424133142412 in words is "twenty-one trillion, four hundred twenty-four billion, one hundred thirty-three million, one hundred forty-two thousand, four hundred twelve".