449318066453760 has 4608 divisors, whose sum is σ = 1958158540800000. Its totient is φ = 87106435153920.

The previous prime is 449318066453759. The next prime is 449318066453783. The reversal of 449318066453760 is 67354660813944.

It is a junction number, because it is equal to n+sod(n) for n = 449318066453691 and 449318066453700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 974659579930 + ... + 974659580390.

It is an arithmetic number, because the mean of its divisors is an integer number (424947600000).

Almost surely, 2^{449318066453760} is an apocalyptic number.

449318066453760 is a gapful number since it is divisible by the number (40) 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 449318066453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979079270400000).

449318066453760 is an abundant number, since it is smaller than the sum of its proper divisors (1508840474346240).

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

449318066453760 is a wasteful number, since it uses less digits than its factorization.

449318066453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 66.

The spelling of 449318066453760 in words is "four hundred forty-nine trillion, three hundred eighteen billion, sixty-six million, four hundred fifty-three thousand, seven hundred sixty".