4471180560 has 960 divisors, whose sum is σ = 20278702080. Its totient is φ = 888330240.

The previous prime is 4471180559. The next prime is 4471180573. The reversal of 4471180560 is 650811744.

It is a happy number.

4471180560 is a `hidden beast` number, since 4 + 4 + 7 + 11 + 80 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43409469 + ... + 43409571.

It is an arithmetic number, because the mean of its divisors is an integer number (21123648).

Almost surely, 2^4471180560 is an apocalyptic number.

4471180560 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 4471180560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10139351040).

4471180560 is an abundant number, since it is smaller than the sum of its proper divisors (15807521520).

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

4471180560 is a wasteful number, since it uses less digits than its factorization.

4471180560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 4471180560 is about 66866.8868723526. The cubic root of 4471180560 is about 1647.4316405773.

The spelling of 4471180560 in words is "four billion, four hundred seventy-one million, one hundred eighty thousand, five hundred sixty".