4499712000 has 960 divisors, whose sum is σ = 19788088320. Its totient is φ = 995328000.

The previous prime is 4499711959. The next prime is 4499712013. The reversal of 4499712000 is 2179944.

4499712000 is a `hidden beast` number, since 449 + 9 + 7 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145151985 + ... + 145152015.

It is an arithmetic number, because the mean of its divisors is an integer number (20612592).

Almost surely, 2^4499712000 is an apocalyptic number.

4499712000 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 4499712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894044160).

4499712000 is an abundant number, since it is smaller than the sum of its proper divisors (15288376320).

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

4499712000 is an equidigital number, since it uses as much as digits as its factorization.

4499712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4499712000 is about 67079.8926653882. The cubic root of 4499712000 is about 1650.9284031386.

The spelling of 4499712000 in words is "four billion, four hundred ninety-nine million, seven hundred twelve thousand".