4809306856320 has 384 divisors, whose sum is σ = 17458178905440. Its totient is φ = 1264910598144.

The previous prime is 4809306856313. The next prime is 4809306856363. The reversal of 4809306856320 is 236586039084.

4809306856320 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 306 + 8 + 5 + 6 + 320 = 666.

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

It is a super-3 number, since 3×4809306856320³ (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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11141152 + ... + 11564768.

Almost surely, 2^{4809306856320} is an apocalyptic number.

4809306856320 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 4809306856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8729089452720).

4809306856320 is an abundant number, since it is smaller than the sum of its proper divisors (12648872049120).

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

4809306856320 is an equidigital number, since it uses as much as digits as its factorization.

4809306856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423724 (or 423700 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4809306856320 in words is "four trillion, eight hundred nine billion, three hundred six million, eight hundred fifty-six thousand, three hundred twenty".