21304042312140 has 288 divisors, whose sum is σ = 75219954001920. Its totient is φ = 4780180873728.

The previous prime is 21304042312117. The next prime is 21304042312151. The reversal of 21304042312140 is 4121324040312.

21304042312140 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 404 + 231 + 21 + 4 + 0 = 666.

21304042312140 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15770301 + ... + 17067819.

It is an arithmetic number, because the mean of its divisors is an integer number (261180395840).

Almost surely, 2^{21304042312140} is an apocalyptic number.

21304042312140 is a gapful number since it is divisible by the number (20) 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 21304042312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37609977000960).

21304042312140 is an abundant number, since it is smaller than the sum of its proper divisors (53915911689780).

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

21304042312140 is a wasteful number, since it uses less digits than its factorization.

21304042312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297781 (or 1297776 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21304042312140 its reverse (4121324040312), we get a palindrome (25425366352452).

The spelling of 21304042312140 in words is "twenty-one trillion, three hundred four billion, forty-two million, three hundred twelve thousand, one hundred forty".