448709701440 has 1792 divisors, whose sum is σ = 2051074400256. Its totient is φ = 80646635520.

The previous prime is 448709701417. The next prime is 448709701487. The reversal of 448709701440 is 44107907844.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 448709701440.

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 255 ways as a sum of consecutive naturals, for example, 1976694607 + ... + 1976694833.

It is an arithmetic number, because the mean of its divisors is an integer number (1144572768).

Almost surely, 2^448709701440 is an apocalyptic number.

448709701440 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 448709701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025537200128).

448709701440 is an abundant number, since it is smaller than the sum of its proper divisors (1602364698816).

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

448709701440 is a wasteful number, since it uses less digits than its factorization.

448709701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 448709701440 in words is "four hundred forty-eight billion, seven hundred nine million, seven hundred one thousand, four hundred forty".