449642618880 has 896 divisors, whose sum is σ = 1796730163200. Its totient is φ = 93484744704.

The previous prime is 449642618819. The next prime is 449642618891. The reversal of 449642618880 is 88816246944.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 883384066 + ... + 883384574.

It is an arithmetic number, because the mean of its divisors is an integer number (2005279200).

Almost surely, 2^449642618880 is an apocalyptic number.

449642618880 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 449642618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898365081600).

449642618880 is an abundant number, since it is smaller than the sum of its proper divisors (1347087544320).

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

449642618880 is a wasteful number, since it uses less digits than its factorization.

449642618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 449642618880 in words is "four hundred forty-nine billion, six hundred forty-two million, six hundred eighteen thousand, eight hundred eighty".