21223433344140 has 192 divisors, whose sum is σ = 66099891110400. Its totient is φ = 5653463033088.

The previous prime is 21223433344093. The next prime is 21223433344279. The reversal of 21223433344140 is 4144333432212.

21223433344140 is a `hidden beast` number, since 2 + 1 + 2 + 234 + 3 + 3 + 3 + 4 + 414 + 0 = 666.

21223433344140 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×21223433344140³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21223433344095 and 21223433344104.

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, 3026295274 + ... + 3026302286.

It is an arithmetic number, because the mean of its divisors is an integer number (344270266200).

Almost surely, 2^{21223433344140} is an apocalyptic number.

21223433344140 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 21223433344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33049945555200).

21223433344140 is an abundant number, since it is smaller than the sum of its proper divisors (44876457766260).

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

21223433344140 is a wasteful number, since it uses less digits than its factorization.

21223433344140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12293 (or 12285 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 21223433344140 its reverse (4144333432212), we get a palindrome (25367766776352).

The spelling of 21223433344140 in words is "twenty-one trillion, two hundred twenty-three billion, four hundred thirty-three million, three hundred forty-four thousand, one hundred forty".