449521125944 has 64 divisors (see below), whose sum is σ = 933047424000. Its totient is φ = 201315542400.

The previous prime is 449521125931. The next prime is 449521125959.

449521125944 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×449521125944² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 449521125892 and 449521125901.

It is a congruent number.

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, 9654929 + ... + 9701375.

It is an arithmetic number, because the mean of its divisors is an integer number (14578866000).

Almost surely, 2^449521125944 is an apocalyptic number.

449521125944 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 449521125944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466523712000).

449521125944 is an abundant number, since it is smaller than the sum of its proper divisors (483526298056).

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

449521125944 is a wasteful number, since it uses less digits than its factorization.

449521125944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48084 (or 48080 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 50.

The spelling of 449521125944 in words is "four hundred forty-nine billion, five hundred twenty-one million, one hundred twenty-five thousand, nine hundred forty-four".