4416048000 has 768 divisors, whose sum is σ = 19576851840. Its totient is φ = 928972800.

The previous prime is 4416047983. The next prime is 4416048011. The reversal of 4416048000 is 8406144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13103832 + ... + 13104168.

Almost surely, 2^4416048000 is an apocalyptic number.

4416048000 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 4416048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9788425920).

4416048000 is an abundant number, since it is smaller than the sum of its proper divisors (15160803840).

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

4416048000 is a wasteful number, since it uses less digits than its factorization.

4416048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 367 counting only the distinct ones).

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

The square root of 4416048000 is about 66453.3520599225. The cubic root of 4416048000 is about 1640.6323161579.

The spelling of 4416048000 in words is "four billion, four hundred sixteen million, forty-eight thousand".