4418174880 has 1152 divisors, whose sum is σ = 20379340800. Its totient is φ = 846692352.

The previous prime is 4418174869. The next prime is 4418174881. The reversal of 4418174880 is 884718144.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4418174881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74884291 + ... + 74884349.

It is an arithmetic number, because the mean of its divisors is an integer number (17690400).

Almost surely, 2^4418174880 is an apocalyptic number.

4418174880 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 4418174880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189670400).

4418174880 is an abundant number, since it is smaller than the sum of its proper divisors (15961165920).

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

4418174880 is a wasteful number, since it uses less digits than its factorization.

4418174880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 4418174880 is about 66469.3529380270. The cubic root of 4418174880 is about 1640.8956638397.

The spelling of 4418174880 in words is "four billion, four hundred eighteen million, one hundred seventy-four thousand, eight hundred eighty".