4830985536000 has 640 divisors, whose sum is σ = 17328560401152. Its totient is φ = 1187020800000.

The previous prime is 4830985535933. The next prime is 4830985536011. The reversal of 4830985536000 is 6355890384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1724734600 + ... + 1724737400.

Almost surely, 2^{4830985536000} is an apocalyptic number.

4830985536000 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 4830985536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664280200576).

4830985536000 is an abundant number, since it is smaller than the sum of its proper divisors (12497574865152).

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

4830985536000 is a wasteful number, since it uses less digits than its factorization.

4830985536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 4830985536000 in words is "four trillion, eight hundred thirty billion, nine hundred eighty-five million, five hundred thirty-six thousand".