4418978080 has 288 divisors, whose sum is σ = 12226636800. Its totient is φ = 1505433600.

The previous prime is 4418978041. The next prime is 4418978087. The reversal of 4418978080 is 808798144.

It is not an unprimeable number, because it can be changed into a prime (4418978087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22205821 + ... + 22206019.

It is an arithmetic number, because the mean of its divisors is an integer number (42453600).

Almost surely, 2^4418978080 is an apocalyptic number.

4418978080 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 4418978080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113318400).

4418978080 is an abundant number, since it is smaller than the sum of its proper divisors (7807658720).

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

4418978080 is a wasteful number, since it uses less digits than its factorization.

4418978080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The square root of 4418978080 is about 66475.3945456513. The cubic root of 4418978080 is about 1640.9950930969.

The spelling of 4418978080 in words is "four billion, four hundred eighteen million, nine hundred seventy-eight thousand, eighty".