4717980288000 has 3168 divisors, whose sum is σ = 21466621088640. Its totient is φ = 990285004800.

The previous prime is 4717980287957. The next prime is 4717980288001. The reversal of 4717980288000 is 8820897174.

It is a happy number.

4717980288000 is a `hidden beast` number, since 471 + 7 + 98 + 0 + 2 + 8 + 80 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4717980288001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 56843135959 + ... + 56843136041.

Almost surely, 2^{4717980288000} is an apocalyptic number.

4717980288000 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 4717980288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10733310544320).

4717980288000 is an abundant number, since it is smaller than the sum of its proper divisors (16748640800640).

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

4717980288000 is a wasteful number, since it uses less digits than its factorization.

4717980288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 4717980288000 in words is "four trillion, seven hundred seventeen billion, nine hundred eighty million, two hundred eighty-eight thousand".