21322323333340 has 192 divisors, whose sum is σ = 47763644544000. Its totient is φ = 7972721602560.

The previous prime is 21322323333317. The next prime is 21322323333401. The reversal of 21322323333340 is 4333332322312.

It is a junction number, because it is equal to n+sod(n) for n = 21322323333296 and 21322323333305.

It is a congruent number.

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, 16165521201 + ... + 16165522519.

It is an arithmetic number, because the mean of its divisors is an integer number (248768982000).

Almost surely, 2^{21322323333340} is an apocalyptic number.

21322323333340 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 21322323333340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23881822272000).

21322323333340 is an abundant number, since it is smaller than the sum of its proper divisors (26441321210660).

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

21322323333340 is a wasteful number, since it uses less digits than its factorization.

21322323333340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 34.

Adding to 21322323333340 its reverse (4333332322312), we get a palindrome (25655655655652).

The spelling of 21322323333340 in words is "twenty-one trillion, three hundred twenty-two billion, three hundred twenty-three million, three hundred thirty-three thousand, three hundred forty".