4449312000 has 432 divisors, whose sum is σ = 18305344512. Its totient is φ = 1016524800.

The previous prime is 4449311969. The next prime is 4449312047. The reversal of 4449312000 is 2139444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014897 + ... + 2017103.

Almost surely, 2^4449312000 is an apocalyptic number.

4449312000 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 4449312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9152672256).

4449312000 is an abundant number, since it is smaller than the sum of its proper divisors (13856032512).

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

4449312000 is a wasteful number, since it uses less digits than its factorization.

4449312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4449312000 is about 66703.1633432778. The cubic root of 4449312000 is about 1644.7413851136.

The spelling of 4449312000 in words is "four billion, four hundred forty-nine million, three hundred twelve thousand".