449413971328 has 128 divisors (see below), whose sum is σ = 1080071308800. Its totient is φ = 182466335232.

The previous prime is 449413971319. The next prime is 449413971341. The reversal of 449413971328 is 823179314944.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6109101 + ... + 6182227.

It is an arithmetic number, because the mean of its divisors is an integer number (8438057100).

Almost surely, 2^449413971328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449413971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540035654400).

449413971328 is an abundant number, since it is smaller than the sum of its proper divisors (630657337472).

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

449413971328 is an frugal number, since it uses more digits than its factorization.

449413971328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73205 (or 73155 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The spelling of 449413971328 in words is "four hundred forty-nine billion, four hundred thirteen million, nine hundred seventy-one thousand, three hundred twenty-eight".