21340013231232 has 320 divisors, whose sum is σ = 64004487643800. Its totient is φ = 7057730174976.

The previous prime is 21340013231183. The next prime is 21340013231237. The reversal of 21340013231232 is 23213231004312.

21340013231232 is a `hidden beast` number, since 2 + 1 + 3 + 400 + 1 + 3 + 23 + 1 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10648839721536 + 10691173509696 = 3263256^2 + 3269736^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21340013231196 and 21340013231205.

It is not an unprimeable number, because it can be changed into a prime (21340013231237) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4728562608 + ... + 4728567120.

Almost surely, 2^{21340013231232} 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 21340013231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32002243821900).

21340013231232 is an abundant number, since it is smaller than the sum of its proper divisors (42664474412568).

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

21340013231232 is a wasteful number, since it uses less digits than its factorization.

21340013231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8005 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21340013231232 its reverse (23213231004312), we get a palindrome (44553244235544).

The spelling of 21340013231232 in words is "twenty-one trillion, three hundred forty billion, thirteen million, two hundred thirty-one thousand, two hundred thirty-two".