4671189120 has 256 divisors, whose sum is σ = 16554746880. Its totient is φ = 1112555520.

The previous prime is 4671189113. The next prime is 4671189139. The reversal of 4671189120 is 219811764.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770742 + ... + 776778.

It is an arithmetic number, because the mean of its divisors is an integer number (64666980).

Almost surely, 2^4671189120 is an apocalyptic number.

4671189120 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 4671189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277373440).

4671189120 is an abundant number, since it is smaller than the sum of its proper divisors (11883557760).

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

4671189120 is a wasteful number, since it uses less digits than its factorization.

4671189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103 (or 6091 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 4671189120 is about 68346.0980598015. The cubic root of 4671189120 is about 1671.6389565591.

The spelling of 4671189120 in words is "four billion, six hundred seventy-one million, one hundred eighty-nine thousand, one hundred twenty".