4328946300240 has 480 divisors, whose sum is σ = 16094994140160. Its totient is φ = 1038375936000.

The previous prime is 4328946300169. The next prime is 4328946300241. The reversal of 4328946300240 is 420036498234.

4328946300240 is a `hidden beast` number, since 4 + 3 + 2 + 8 + 9 + 4 + 630 + 0 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4328946300241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22379940 + ... + 22572540.

It is an arithmetic number, because the mean of its divisors is an integer number (33531237792).

Almost surely, 2^{4328946300240} is an apocalyptic number.

4328946300240 is a gapful number since it is divisible by the number (40) 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 4328946300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047497070080).

4328946300240 is an abundant number, since it is smaller than the sum of its proper divisors (11766047839920).

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

4328946300240 is a wasteful number, since it uses less digits than its factorization.

4328946300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192723 (or 192714 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4328946300240 in words is "four trillion, three hundred twenty-eight billion, nine hundred forty-six million, three hundred thousand, two hundred forty".