4772801517120 has 1120 divisors, whose sum is σ = 21804377430528. Its totient is φ = 963214737408.

The previous prime is 4772801517119. The next prime is 4772801517167. The reversal of 4772801517120 is 217151082774.

It is a happy number.

4772801517120 is a `hidden beast` number, since 4 + 7 + 7 + 2 + 8 + 0 + 1 + 517 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54206572 + ... + 54294548.

Almost surely, 2^{4772801517120} is an apocalyptic number.

4772801517120 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 4772801517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10902188715264).

4772801517120 is an abundant number, since it is smaller than the sum of its proper divisors (17031575913408).

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

4772801517120 is a wasteful number, since it uses less digits than its factorization.

4772801517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88049 (or 88030 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

Adding to 4772801517120 its reverse (217151082774), we get a palindrome (4989952599894).

The spelling of 4772801517120 in words is "four trillion, seven hundred seventy-two billion, eight hundred one million, five hundred seventeen thousand, one hundred twenty".