321223222334340 has 144 divisors (see below), whose sum is σ = 1013044663088640. Its totient is φ = 82299938872320.

The previous prime is 321223222334297. The next prime is 321223222334341. The reversal of 321223222334340 is 43433222322123.

321223222334340 is a `hidden beast` number, since 3 + 2 + 1 + 22 + 32 + 223 + 343 + 40 = 666.

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 = 321223222334295 and 321223222334304.

It is not an unprimeable number, because it can be changed into a prime (321223222334341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206299509 + ... + 207850748.

It is an arithmetic number, because the mean of its divisors is an integer number (7035032382560).

Almost surely, 2^{321223222334340} is an apocalyptic number.

321223222334340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321223222334340 is an abundant number, since it is smaller than the sum of its proper divisors (691821440754300).

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

321223222334340 is a wasteful number, since it uses less digits than its factorization.

321223222334340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414150442 (or 414150437 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 321223222334340 its reverse (43433222322123), we get a palindrome (364656444656463).

The spelling of 321223222334340 in words is "three hundred twenty-one trillion, two hundred twenty-three billion, two hundred twenty-two million, three hundred thirty-four thousand, three hundred forty".