21144141430412 has 192 divisors, whose sum is σ = 49940783692800. Its totient is φ = 7564610995200.

The previous prime is 21144141430397. The next prime is 21144141430483. The reversal of 21144141430412 is 21403414144112.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2261642714 + ... + 2261652062.

It is an arithmetic number, because the mean of its divisors is an integer number (260108248400).

Almost surely, 2^{21144141430412} is an apocalyptic number.

21144141430412 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 21144141430412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24970391846400).

21144141430412 is an abundant number, since it is smaller than the sum of its proper divisors (28796642262388).

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

21144141430412 is a wasteful number, since it uses less digits than its factorization.

21144141430412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12272 (or 12270 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 21144141430412 its reverse (21403414144112), we get a palindrome (42547555574524).

The spelling of 21144141430412 in words is "twenty-one trillion, one hundred forty-four billion, one hundred forty-one million, four hundred thirty thousand, four hundred twelve".