4730317056000 has 960 divisors, whose sum is σ = 17757644945040. Its totient is φ = 1252520755200.

The previous prime is 4730317055987. The next prime is 4730317056029. The reversal of 4730317056000 is 6507130374.

4730317056000 is a `hidden beast` number, since 4 + 7 + 30 + 3 + 17 + 0 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 674185503744 + 4056131552256 = 821088^2 + 2013984^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3255551274 + ... + 3255552726.

Almost surely, 2^{4730317056000} is an apocalyptic number.

4730317056000 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 4730317056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8878822472520).

4730317056000 is an abundant number, since it is smaller than the sum of its proper divisors (13027327889040).

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

4730317056000 is a wasteful number, since it uses less digits than its factorization.

4730317056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 4730317056000 in words is "four trillion, seven hundred thirty billion, three hundred seventeen million, fifty-six thousand".