449985521568960 has 896 divisors, whose sum is σ = 1811763491731200. Its totient is φ = 104155545600000.

The previous prime is 449985521568937. The next prime is 449985521568967. The reversal of 449985521568960 is 69865125589944.

449985521568960 is a `hidden beast` number, since 4 + 4 + 9 + 9 + 8 + 5 + 521 + 5 + 6 + 89 + 6 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 449985521568960.

It is not an unprimeable number, because it can be changed into a prime (449985521568967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2117462710 + ... + 2117675210.

It is an arithmetic number, because the mean of its divisors is an integer number (2022057468450).

Almost surely, 2^{449985521568960} is an apocalyptic number.

449985521568960 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 449985521568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905881745865600).

449985521568960 is an abundant number, since it is smaller than the sum of its proper divisors (1361777970162240).

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

449985521568960 is a wasteful number, since it uses less digits than its factorization.

449985521568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213666 (or 213650 counting only the distinct ones).

The product of its (nonzero) digits is 6718464000, while the sum is 81.

The spelling of 449985521568960 in words is "four hundred forty-nine trillion, nine hundred eighty-five billion, five hundred twenty-one million, five hundred sixty-eight thousand, nine hundred sixty".