449130978912 has 192 divisors, whose sum is σ = 1482033950208. Its totient is φ = 116657164800.

The previous prime is 449130978893. The next prime is 449130978917. The reversal of 449130978912 is 219879031944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449130978917) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 643362 + ... + 1145502.

It is an arithmetic number, because the mean of its divisors is an integer number (7718926824).

Almost surely, 2^449130978912 is an apocalyptic number.

449130978912 is a gapful number since it is divisible by the number (42) 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 449130978912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741016975104).

449130978912 is an abundant number, since it is smaller than the sum of its proper divisors (1032902971296).

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

449130978912 is a wasteful number, since it uses less digits than its factorization.

449130978912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502194 (or 502164 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 449130978912 in words is "four hundred forty-nine billion, one hundred thirty million, nine hundred seventy-eight thousand, nine hundred twelve".