21014422441012 has 192 divisors, whose sum is σ = 49680359866368. Its totient is φ = 7511267520000.

The previous prime is 21014422441009. The next prime is 21014422441039.

21014422441012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 453842262 + ... + 453888562.

It is an arithmetic number, because the mean of its divisors is an integer number (258751874304).

Almost surely, 2^{21014422441012} is an apocalyptic number.

21014422441012 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 21014422441012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24840179933184).

21014422441012 is an abundant number, since it is smaller than the sum of its proper divisors (28665937425356).

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

21014422441012 is a wasteful number, since it uses less digits than its factorization.

21014422441012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47030 (or 47028 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 2101442 and 2441012, that added together give a palindrome (4542454).

The spelling of 21014422441012 in words is "twenty-one trillion, fourteen billion, four hundred twenty-two million, four hundred forty-one thousand, twelve".