4478912000 has 160 divisors (see below), whose sum is σ = 11413733760. Its totient is φ = 1752268800.

The previous prime is 4478911993. The next prime is 4478912003. The reversal of 4478912000 is 2198744.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4478912003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3007256 + ... + 3008744.

It is an arithmetic number, because the mean of its divisors is an integer number (71335836).

Almost surely, 2^4478912000 is an apocalyptic number.

4478912000 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 4478912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706866880).

4478912000 is an abundant number, since it is smaller than the sum of its proper divisors (6934821760).

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

4478912000 is an equidigital number, since it uses as much as digits as its factorization.

4478912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 4478912000 is about 66924.6740746640. The cubic root of 4478912000 is about 1648.3806579757.

The spelling of 4478912000 in words is "four billion, four hundred seventy-eight million, nine hundred twelve thousand".