449882377920 has 336 divisors, whose sum is σ = 1577555066880. Its totient is φ = 117649459200.

The previous prime is 449882377907. The next prime is 449882377939. The reversal of 449882377920 is 29773288944.

449882377920 is a `hidden beast` number, since 449 + 88 + 23 + 7 + 7 + 92 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39049921 + ... + 39061439.

Almost surely, 2^449882377920 is an apocalyptic number.

449882377920 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 449882377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788777533440).

449882377920 is an abundant number, since it is smaller than the sum of its proper divisors (1127672688960).

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

449882377920 is a wasteful number, since it uses less digits than its factorization.

449882377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11804 (or 11791 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 449882377920 in words is "four hundred forty-nine billion, eight hundred eighty-two million, three hundred seventy-seven thousand, nine hundred twenty".