449539935944 has 64 divisors (see below), whose sum is σ = 931662950400. Its totient is φ = 201639297600.

The previous prime is 449539935919. The next prime is 449539936127.

449539935944 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×449539935944² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13407569 + ... + 13441055.

It is an arithmetic number, because the mean of its divisors is an integer number (14557233600).

Almost surely, 2^449539935944 is an apocalyptic number.

449539935944 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 449539935944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465831475200).

449539935944 is an abundant number, since it is smaller than the sum of its proper divisors (482123014456).

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

449539935944 is a wasteful number, since it uses less digits than its factorization.

449539935944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35514 (or 35510 counting only the distinct ones).

The product of its digits is 377913600, while the sum is 68.

The spelling of 449539935944 in words is "four hundred forty-nine billion, five hundred thirty-nine million, nine hundred thirty-five thousand, nine hundred forty-four".