449721384840 has 768 divisors, whose sum is σ = 1867320000000. Its totient is φ = 91299446784.

The previous prime is 449721384817. The next prime is 449721384883. The reversal of 449721384840 is 48483127944.

449721384840 is a `hidden beast` number, since 44 + 97 + 2 + 1 + 38 + 484 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 360064536 + ... + 360065784.

It is an arithmetic number, because the mean of its divisors is an integer number (2431406250).

Almost surely, 2^449721384840 is an apocalyptic number.

449721384840 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 449721384840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933660000000).

449721384840 is an abundant number, since it is smaller than the sum of its proper divisors (1417598615160).

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

449721384840 is a wasteful number, since it uses less digits than its factorization.

449721384840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 449721384840 in words is "four hundred forty-nine billion, seven hundred twenty-one million, three hundred eighty-four thousand, eight hundred forty".