328380265175040 has 1920 divisors, whose sum is σ = 1316413991692800. Its totient is φ = 78211122462720.

The previous prime is 328380265174991. The next prime is 328380265175069. The reversal of 328380265175040 is 40571562083823.

328380265175040 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 80 + 2 + 6 + 51 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56490667174 + ... + 56490672986.

It is an arithmetic number, because the mean of its divisors is an integer number (685632287340).

Almost surely, 2^{328380265175040} is an apocalyptic number.

328380265175040 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 328380265175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658206995846400).

328380265175040 is an abundant number, since it is smaller than the sum of its proper divisors (988033726517760).

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

328380265175040 is an equidigital number, since it uses as much as digits as its factorization.

328380265175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 328380265175040 in words is "three hundred twenty-eight trillion, three hundred eighty billion, two hundred sixty-five million, one hundred seventy-five thousand, forty".