328514509440 has 768 divisors, whose sum is σ = 1274945817600. Its totient is φ = 77396705280.

The previous prime is 328514509439. The next prime is 328514509481. The reversal of 328514509440 is 44905415823.

328514509440 is a `hidden beast` number, since 3 + 2 + 8 + 514 + 5 + 0 + 94 + 40 = 666.

It is a super-2 number, since 2×328514509440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225163431 + ... + 225164889.

It is an arithmetic number, because the mean of its divisors is an integer number (1660085700).

Almost surely, 2^328514509440 is an apocalyptic number.

328514509440 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 328514509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637472908800).

328514509440 is an abundant number, since it is smaller than the sum of its proper divisors (946431308160).

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

328514509440 is a wasteful number, since it uses less digits than its factorization.

328514509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 328514509440 in words is "three hundred twenty-eight billion, five hundred fourteen million, five hundred nine thousand, four hundred forty".