4720480195200 has 768 divisors, whose sum is σ = 20524947747840. Its totient is φ = 923177779200.

The previous prime is 4720480195169. The next prime is 4720480195201. The reversal of 4720480195200 is 25910840274.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4720480195201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12378579 + ... + 12754221.

It is an arithmetic number, because the mean of its divisors is an integer number (26725192380).

Almost surely, 2^{4720480195200} is an apocalyptic number.

4720480195200 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 4720480195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262473873920).

4720480195200 is an abundant number, since it is smaller than the sum of its proper divisors (15804467552640).

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

4720480195200 is a wasteful number, since it uses less digits than its factorization.

4720480195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375705 (or 375688 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

It can be divided in two parts, 4720480 and 195200, that added together give a triangular number (4915680 = T₃₁₃₅).

The spelling of 4720480195200 in words is "four trillion, seven hundred twenty billion, four hundred eighty million, one hundred ninety-five thousand, two hundred".