449094204748800 has 528 divisors, whose sum is σ = 1776061259318080. Its totient is φ = 110546263572480.

The previous prime is 449094204748751. The next prime is 449094204748807. The reversal of 449094204748800 is 8847402490944.

449094204748800 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 94 + 20 + 47 + 488 + 0 + 0 = 666.

It is a super-2 number, since 2×449094204748800² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449094204748807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16004062 + ... + 33975261.

Almost surely, 2^{449094204748800} is an apocalyptic number.

449094204748800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449094204748800 is an abundant number, since it is smaller than the sum of its proper divisors (1326967054569280).

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

449094204748800 is a wasteful number, since it uses less digits than its factorization.

449094204748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49979375 (or 49979346 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 449094204748800 in words is "four hundred forty-nine trillion, ninety-four billion, two hundred four million, seven hundred forty-eight thousand, eight hundred".