4909064908800 has 624 divisors, whose sum is σ = 17618623447040. Its totient is φ = 1198746501120.

The previous prime is 4909064908793. The next prime is 4909064908829. The reversal of 4909064908800 is 88094609094.

It is a tau number, because it is divible by the number of its divisors (624).

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, 507182361 + ... + 507192039.

Almost surely, 2^{4909064908800} is an apocalyptic number.

4909064908800 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 4909064908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809311723520).

4909064908800 is an abundant number, since it is smaller than the sum of its proper divisors (12709558538240).

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

4909064908800 is a wasteful number, since it uses less digits than its factorization.

4909064908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9856 (or 9829 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 4909064908800 in words is "four trillion, nine hundred nine billion, sixty-four million, nine hundred eight thousand, eight hundred".