328855142400 has 720 divisors, whose sum is σ = 1146771601920. Its totient is φ = 83047219200.

The previous prime is 328855142389. The next prime is 328855142401. The reversal of 328855142400 is 4241558823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328855142401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3390259152 + ... + 3390259248.

It is an arithmetic number, because the mean of its divisors is an integer number (1592738336).

Almost surely, 2^328855142400 is an apocalyptic number.

328855142400 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 328855142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573385800960).

328855142400 is an abundant number, since it is smaller than the sum of its proper divisors (817916459520).

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

328855142400 is an equidigital number, since it uses as much as digits as its factorization.

328855142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 328855142400 in words is "three hundred twenty-eight billion, eight hundred fifty-five million, one hundred forty-two thousand, four hundred".