448447916800 has 432 divisors, whose sum is σ = 1218312807712. Its totient is φ = 162437529600.

The previous prime is 448447916783. The next prime is 448447916809. The reversal of 448447916800 is 8619744844.

It is a super-2 number, since 2×448447916800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (448447916809) 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, 1460742247 + ... + 1460742553.

Almost surely, 2^448447916800 is an apocalyptic number.

448447916800 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 448447916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609156403856).

448447916800 is an abundant number, since it is smaller than the sum of its proper divisors (769864890912).

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

448447916800 is a wasteful number, since it uses less digits than its factorization.

448447916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 448447916800 in words is "four hundred forty-eight billion, four hundred forty-seven million, nine hundred sixteen thousand, eight hundred".