4408976000 has 512 divisors, whose sum is σ = 13473008640. Its totient is φ = 1413120000.

The previous prime is 4408975999. The next prime is 4408976009. The reversal of 4408976000 is 6798044.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4408976009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93807977 + ... + 93808023.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470).

Almost surely, 2^4408976000 is an apocalyptic number.

4408976000 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 4408976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736504320).

4408976000 is an abundant number, since it is smaller than the sum of its proper divisors (9064032640).

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

4408976000 is a wasteful number, since it uses less digits than its factorization.

4408976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 4408976000 is about 66400.1204818184. The cubic root of 4408976000 is about 1639.7560612786.

The spelling of 4408976000 in words is "four billion, four hundred eight million, nine hundred seventy-six thousand".