4717380403200 has 384 divisors, whose sum is σ = 15713546099040. Its totient is φ = 1248696729600.

The previous prime is 4717380403187. The next prime is 4717380403201. The reversal of 4717380403200 is 23040837174.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4717380403201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336684195 + ... + 336698205.

Almost surely, 2^{4717380403200} is an apocalyptic number.

4717380403200 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 4717380403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856773049520).

4717380403200 is an abundant number, since it is smaller than the sum of its proper divisors (10996165695840).

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

4717380403200 is a wasteful number, since it uses less digits than its factorization.

4717380403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14191 (or 14158 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 4717380403200 in words is "four trillion, seven hundred seventeen billion, three hundred eighty million, four hundred three thousand, two hundred".