449422934016 has 240 divisors, whose sum is σ = 1403077697280. Its totient is φ = 125270753280.

The previous prime is 449422933987. The next prime is 449422934029. The reversal of 449422934016 is 610439224944.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 14090695 + ... + 14122553.

It is an arithmetic number, because the mean of its divisors is an integer number (5846157072).

Almost surely, 2^449422934016 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 449422934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701538848640).

449422934016 is an abundant number, since it is smaller than the sum of its proper divisors (953654763264).

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

449422934016 is an equidigital number, since it uses as much as digits as its factorization.

449422934016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31938 (or 31912 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 449422934016 in words is "four hundred forty-nine billion, four hundred twenty-two million, nine hundred thirty-four thousand, sixteen".