449036491796928 has 672 divisors, whose sum is σ = 1558190323206720. Its totient is φ = 126412946472960.

The previous prime is 449036491796899. The next prime is 449036491796939. The reversal of 449036491796928 is 829697194630944.

449036491796928 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 36 + 491 + 7 + 9 + 6 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6310822600 + ... + 6310893752.

It is an arithmetic number, because the mean of its divisors is an integer number (2318735600010).

Almost surely, 2^{449036491796928} is an apocalyptic number.

449036491796928 is a gapful number since it is divisible by the number (48) 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 449036491796928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779095161603360).

449036491796928 is an abundant number, since it is smaller than the sum of its proper divisors (1109153831409792).

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

449036491796928 is a wasteful number, since it uses less digits than its factorization.

449036491796928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72282 (or 72259 counting only the distinct ones).

The product of its (nonzero) digits is 5079158784, while the sum is 81.

The spelling of 449036491796928 in words is "four hundred forty-nine trillion, thirty-six billion, four hundred ninety-one million, seven hundred ninety-six thousand, nine hundred twenty-eight".