448416043992 has 192 divisors, whose sum is σ = 1409446771200. Its totient is φ = 126137088000.

The previous prime is 448416043991. The next prime is 448416044033. The reversal of 448416043992 is 299340614844.

448416043992 is a `hidden beast` number, since 4 + 48 + 4 + 160 + 439 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448416043991) 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, 112073992 + ... + 112077992.

It is an arithmetic number, because the mean of its divisors is an integer number (7340868600).

Almost surely, 2^448416043992 is an apocalyptic number.

448416043992 is a gapful number since it is divisible by the number (42) 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 448416043992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704723385600).

448416043992 is an abundant number, since it is smaller than the sum of its proper divisors (961030727208).

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

448416043992 is a wasteful number, since it uses less digits than its factorization.

448416043992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7406 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 448416043992 in words is "four hundred forty-eight billion, four hundred sixteen million, forty-three thousand, nine hundred ninety-two".