4480416000 has 432 divisors, whose sum is σ = 16514604288. Its totient is φ = 1165824000.

The previous prime is 4480415983. The next prime is 4480416041. The reversal of 4480416000 is 6140844.

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, 13535835 + ... + 13536165.

Almost surely, 2^4480416000 is an apocalyptic number.

4480416000 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 4480416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257302144).

4480416000 is an abundant number, since it is smaller than the sum of its proper divisors (12034188288).

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

4480416000 is a wasteful number, since it uses less digits than its factorization.

4480416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4480416000 is about 66935.9096449731. The cubic root of 4480416000 is about 1648.5651437812.

Adding to 4480416000 its reverse (6140844), we get a palindrome (4486556844).

The spelling of 4480416000 in words is "four billion, four hundred eighty million, four hundred sixteen thousand".