4181130720 has 288 divisors, whose sum is σ = 15479100000. Its totient is φ = 1021612032.

The previous prime is 4181130719. The next prime is 4181130731. The reversal of 4181130720 is 270311814.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2788531 + ... + 2790029.

It is an arithmetic number, because the mean of its divisors is an integer number (53746875).

Almost surely, 2^4181130720 is an apocalyptic number.

4181130720 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 4181130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739550000).

4181130720 is an abundant number, since it is smaller than the sum of its proper divisors (11297969280).

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

4181130720 is a wasteful number, since it uses less digits than its factorization.

4181130720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4181130720 is about 64661.6634490639. The cubic root of 4181130720 is about 1611.0088092667.

The spelling of 4181130720 in words is "four billion, one hundred eighty-one million, one hundred thirty thousand, seven hundred twenty".