449838838944 has 144 divisors (see below), whose sum is σ = 1396805679360. Its totient is φ = 136189486080.

The previous prime is 449838838927. The next prime is 449838838949.

449838838944 is a `hidden beast` number, since 44 + 98 + 3 + 88 + 389 + 44 = 666.

449838838944 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (449838838949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3410577 + ... + 3540015.

It is an arithmetic number, because the mean of its divisors is an integer number (9700039440).

Almost surely, 2^449838838944 is an apocalyptic number.

449838838944 is a gapful number since it is divisible by the number (44) 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 449838838944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698402839680).

449838838944 is an abundant number, since it is smaller than the sum of its proper divisors (946966840416).

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

449838838944 is a wasteful number, since it uses less digits than its factorization.

449838838944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130563 (or 130552 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 449838838944 in words is "four hundred forty-nine billion, eight hundred thirty-eight million, eight hundred thirty-eight thousand, nine hundred forty-four".