324414412000000 has 504 divisors, whose sum is σ = 933271747093728. Its totient is φ = 110242406400000.

The previous prime is 324414411999959. The next prime is 324414412000061. The reversal of 324414412000000 is 214414423.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3163948734 + ... + 3164051266.

It is an arithmetic number, because the mean of its divisors is an integer number (1851729656932).

Almost surely, 2^{324414412000000} 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 324414412000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466635873546864).

324414412000000 is an abundant number, since it is smaller than the sum of its proper divisors (608857335093728).

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

324414412000000 is an frugal number, since it uses more digits than its factorization.

324414412000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102699 (or 102660 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 324414412000000 its reverse (214414423), we get a palindrome (324414626414423).

The spelling of 324414412000000 in words is "three hundred twenty-four trillion, four hundred fourteen billion, four hundred twelve million", and thus it is an aban number.