4180044960 has 960 divisors, whose sum is σ = 18973301760. Its totient is φ = 853493760.

The previous prime is 4180044943. The next prime is 4180044961. The reversal of 4180044960 is 694400814.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4180044961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134840145 + ... + 134840175.

It is an arithmetic number, because the mean of its divisors is an integer number (19763856).

Almost surely, 2^4180044960 is an apocalyptic number.

4180044960 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 4180044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486650880).

4180044960 is an abundant number, since it is smaller than the sum of its proper divisors (14793256800).

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

4180044960 is a wasteful number, since it uses less digits than its factorization.

4180044960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4180044960 is about 64653.2672028259. The cubic root of 4180044960 is about 1610.8693477612.

The spelling of 4180044960 in words is "four billion, one hundred eighty million, forty-four thousand, nine hundred sixty".