4560441984 has 384 divisors, whose sum is σ = 15574241280. Its totient is φ = 1254113280.

The previous prime is 4560441937. The next prime is 4560442021. The reversal of 4560441984 is 4891440654.

4560441984 is a `hidden beast` number, since 4 + 560 + 4 + 4 + 1 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35908929 + ... + 35909055.

It is an arithmetic number, because the mean of its divisors is an integer number (40557920).

Almost surely, 2^4560441984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4560441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7787120640).

4560441984 is an abundant number, since it is smaller than the sum of its proper divisors (11013799296).

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

4560441984 is a wasteful number, since it uses less digits than its factorization.

4560441984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4560441984 is about 67531.0445943197. The cubic root of 4560441984 is about 1658.3224432697.

The spelling of 4560441984 in words is "four billion, five hundred sixty million, four hundred forty-one thousand, nine hundred eighty-four".