324104061753120 has 384 divisors, whose sum is σ = 1117084258080000. Its totient is φ = 78335058575360.

The previous prime is 324104061753113. The next prime is 324104061753161. The reversal of 324104061753120 is 21357160401423.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2430428206 + ... + 2430561554.

It is an arithmetic number, because the mean of its divisors is an integer number (2909073588750).

Almost surely, 2^{324104061753120} is an apocalyptic number.

324104061753120 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 324104061753120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558542129040000).

324104061753120 is an abundant number, since it is smaller than the sum of its proper divisors (792980196326880).

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

324104061753120 is a wasteful number, since it uses less digits than its factorization.

324104061753120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134756 (or 134748 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 324104061753120 in words is "three hundred twenty-four trillion, one hundred four billion, sixty-one million, seven hundred fifty-three thousand, one hundred twenty".