328240441305 has 192 divisors, whose sum is σ = 703119605760. Its totient is φ = 138405915648.

The previous prime is 328240441283. The next prime is 328240441327. The reversal of 328240441305 is 503144042823.

328240441305 is a `hidden beast` number, since 328 + 24 + 0 + 4 + 4 + 1 + 305 = 666.

It is an interprime number because it is at equal distance from previous prime (328240441283) and next prime (328240441327).

It is not a de Polignac number, because 328240441305 - 2⁶ = 328240441241 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 328240441305.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24604597 + ... + 24617933.

It is an arithmetic number, because the mean of its divisors is an integer number (3662081280).

Almost surely, 2^328240441305 is an apocalyptic number.

328240441305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

328240441305 is an abundant number, since it is smaller than the sum of its proper divisors (374879164455).

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

328240441305 is a wasteful number, since it uses less digits than its factorization.

328240441305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13500 (or 13497 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 328240441305 in words is "three hundred twenty-eight billion, two hundred forty million, four hundred forty-one thousand, three hundred five".