4418868480 has 576 divisors, whose sum is σ = 16614678528. Its totient is φ = 990904320.

The previous prime is 4418868479. The next prime is 4418868499. The reversal of 4418868480 is 848688144.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34794177 + ... + 34794303.

It is an arithmetic number, because the mean of its divisors is an integer number (28844928).

Almost surely, 2^4418868480 is an apocalyptic number.

4418868480 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 4418868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307339264).

4418868480 is an abundant number, since it is smaller than the sum of its proper divisors (12195810048).

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

4418868480 is a wasteful number, since it uses less digits than its factorization.

4418868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 51.

The square root of 4418868480 is about 66474.5701753686. The cubic root of 4418868480 is about 1640.9815262687.

The spelling of 4418868480 in words is "four billion, four hundred eighteen million, eight hundred sixty-eight thousand, four hundred eighty".