448842240000 has 2340 divisors, whose sum is σ = 2123656062528. Its totient is φ = 89210880000.

The previous prime is 448842239921. The next prime is 448842240001. The reversal of 448842240000 is 42248844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448842240001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 19514879989 + ... + 19514880011.

Almost surely, 2^448842240000 is an apocalyptic number.

448842240000 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 448842240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061828031264).

448842240000 is an abundant number, since it is smaller than the sum of its proper divisors (1674813822528).

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

448842240000 is a wasteful number, since it uses less digits than its factorization.

448842240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 448842240000 its reverse (42248844), we get a palindrome (448884488844).

The spelling of 448842240000 in words is "four hundred forty-eight billion, eight hundred forty-two million, two hundred forty thousand".