324322400012340 has 384 divisors, whose sum is σ = 1020429928304640. Its totient is φ = 76533831475200.

The previous prime is 324322400012287. The next prime is 324322400012381. The reversal of 324322400012340 is 43210004223423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 324322400012298 and 324322400012307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2248123131 + ... + 2248267389.

It is an arithmetic number, because the mean of its divisors is an integer number (2657369604960).

Almost surely, 2^{324322400012340} is an apocalyptic number.

324322400012340 is a gapful number since it is divisible by the number (30) 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 324322400012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510214964152320).

324322400012340 is an abundant number, since it is smaller than the sum of its proper divisors (696107528292300).

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

324322400012340 is a wasteful number, since it uses less digits than its factorization.

324322400012340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145943 (or 145941 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 324322400012340 its reverse (43210004223423), we get a palindrome (367532404235763).

The spelling of 324322400012340 in words is "three hundred twenty-four trillion, three hundred twenty-two billion, four hundred million, twelve thousand, three hundred forty".