21304411440312 has 256 divisors, whose sum is σ = 75275065958400. Its totient is φ = 4839111175680.

The previous prime is 21304411440283. The next prime is 21304411440317.

It is a happy number.

21304411440312 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 21304411440312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21304411440317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22880308 + ... + 23793219.

It is an arithmetic number, because the mean of its divisors is an integer number (294043226400).

Almost surely, 2^{21304411440312} is an apocalyptic number.

21304411440312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21304411440312 is an abundant number, since it is smaller than the sum of its proper divisors (53970654518088).

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

21304411440312 is a wasteful number, since it uses less digits than its factorization.

21304411440312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46673586 (or 46673582 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 2130441 and 1440312, that added together give a palindrome (3570753).

The spelling of 21304411440312 in words is "twenty-one trillion, three hundred four billion, four hundred eleven million, four hundred forty thousand, three hundred twelve".