21441244214412 has 144 divisors (see below), whose sum is σ = 60732017053344. Its totient is φ = 6320892672000.

The previous prime is 21441244214323. The next prime is 21441244214413.

21441244214412 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 1 + 24 + 4 + 214 + 412 = 666.

21441244214412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21441244214413) 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, 113326612 + ... + 113515652.

It is an arithmetic number, because the mean of its divisors is an integer number (421750118426).

Almost surely, 2^{21441244214412} is an apocalyptic number.

21441244214412 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 21441244214412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30366008526672).

21441244214412 is an abundant number, since it is smaller than the sum of its proper divisors (39290772838932).

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

21441244214412 is a wasteful number, since it uses less digits than its factorization.

21441244214412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196840 (or 196835 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 2144124 and 4214412, that added together give a palindrome (6358536).

The spelling of 21441244214412 in words is "twenty-one trillion, four hundred forty-one billion, two hundred forty-four million, two hundred fourteen thousand, four hundred twelve".