4809115584000 has 3840 divisors, whose sum is σ = 23656763370240. Its totient is φ = 951268147200.

The previous prime is 4809115583981. The next prime is 4809115584001. The reversal of 4809115584000 is 4855119084.

It is a happy number.

4809115584000 is a `hidden beast` number, since 4 + 8 + 0 + 91 + 1 + 558 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-3 number, since 3×4809115584000³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (4809115584001) 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 383 ways as a sum of consecutive naturals, for example, 18712511872 + ... + 18712512128.

It is an arithmetic number, because the mean of its divisors is an integer number (6160615461).

Almost surely, 2^{4809115584000} is an apocalyptic number.

4809115584000 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 4809115584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11828381685120).

4809115584000 is an abundant number, since it is smaller than the sum of its proper divisors (18847647786240).

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

4809115584000 is a wasteful number, since it uses less digits than its factorization.

4809115584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 4809115584000 in words is "four trillion, eight hundred nine billion, one hundred fifteen million, five hundred eighty-four thousand".