4328949841920 has 768 divisors, whose sum is σ = 16937410651200. Its totient is φ = 1013144616960.

The previous prime is 4328949841919. The next prime is 4328949841927. The reversal of 4328949841920 is 291489498234.

4328949841920 is a `hidden beast` number, since 4 + 3 + 2 + 89 + 498 + 41 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (4328949841927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470380039 + ... + 470389241.

Almost surely, 2^{4328949841920} is an apocalyptic number.

4328949841920 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 4328949841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8468705325600).

4328949841920 is an abundant number, since it is smaller than the sum of its proper divisors (12608460809280).

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

4328949841920 is a wasteful number, since it uses less digits than its factorization.

4328949841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9284 (or 9253 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 4328949841920 in words is "four trillion, three hundred twenty-eight billion, nine hundred forty-nine million, eight hundred forty-one thousand, nine hundred twenty".