21314041312 has 144 divisors (see below), whose sum is σ = 47425679280. Its totient is φ = 9400320000.

The previous prime is 21314041279. The next prime is 21314041349.

21314041312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17746312 + ... + 17747512.

It is an arithmetic number, because the mean of its divisors is an integer number (329344995).

Almost surely, 2^21314041312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21314041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23712839640).

21314041312 is an abundant number, since it is smaller than the sum of its proper divisors (26111637968).

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

21314041312 is a wasteful number, since it uses less digits than its factorization.

21314041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 213140 and 41312, that added together give a palindrome (254452).

The spelling of 21314041312 in words is "twenty-one billion, three hundred fourteen million, forty-one thousand, three hundred twelve".