328513067351040 has 1408 divisors, whose sum is σ = 1248157997678592. Its totient is φ = 72697943162880.

The previous prime is 328513067351033. The next prime is 328513067351087. The reversal of 328513067351040 is 40153760315823.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 207525626089 + ... + 207525627671.

It is an arithmetic number, because the mean of its divisors is an integer number (886475850624).

Almost surely, 2^{328513067351040} is an apocalyptic number.

328513067351040 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 328513067351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624078998839296).

328513067351040 is an abundant number, since it is smaller than the sum of its proper divisors (919644930327552).

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

328513067351040 is a wasteful number, since it uses less digits than its factorization.

328513067351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 328513067351040 in words is "three hundred twenty-eight trillion, five hundred thirteen billion, sixty-seven million, three hundred fifty-one thousand, forty".