448319940700 has 144 divisors (see below), whose sum is σ = 1032797021760. Its totient is φ = 168618240000.

The previous prime is 448319940641. The next prime is 448319940743. The reversal of 448319940700 is 7049913844.

448319940700 = 47246² + 47247² + ... + 47445².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72882625 + ... + 72888775.

It is an arithmetic number, because the mean of its divisors is an integer number (7172201540).

Almost surely, 2^448319940700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448319940700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516398510880).

448319940700 is an abundant number, since it is smaller than the sum of its proper divisors (584477081060).

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

448319940700 is a wasteful number, since it uses less digits than its factorization.

448319940700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 448319940700 in words is "four hundred forty-eight billion, three hundred nineteen million, nine hundred forty thousand, seven hundred".