4980352000 has 352 divisors, whose sum is σ = 13894773984. Its totient is φ = 1769472000.

The previous prime is 4980351983. The next prime is 4980352007. The reversal of 4980352000 is 2530894.

It can be written as a sum of positive squares in 16 ways, for example, as 4897760256 + 82591744 = 69984^2 + 9088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4980352007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68223964 + ... + 68224036.

Almost surely, 2^4980352000 is an apocalyptic number.

4980352000 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 4980352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947386992).

4980352000 is an abundant number, since it is smaller than the sum of its proper divisors (8914421984).

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

4980352000 is a wasteful number, since it uses less digits than its factorization.

4980352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 4980352000 is about 70571.6090223257. The cubic root of 4980352000 is about 1707.7331658691.

Adding to 4980352000 its reverse (2530894), we get a palindrome (4982882894).

The spelling of 4980352000 in words is "four billion, nine hundred eighty million, three hundred fifty-two thousand".