448120135728408 has 512 divisors, whose sum is σ = 1420819187880960. Its totient is φ = 115671703879680.

The previous prime is 448120135728347. The next prime is 448120135728409. The reversal of 448120135728408 is 804827531021844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448120135728409) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4709421760 + ... + 4709516912.

It is an arithmetic number, because the mean of its divisors is an integer number (2775037476330).

Almost surely, 2^{448120135728408} 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 448120135728408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710409593940480).

448120135728408 is an abundant number, since it is smaller than the sum of its proper divisors (972699052152552).

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

448120135728408 is a wasteful number, since it uses less digits than its factorization.

448120135728408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96779 (or 96775 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 57.

The spelling of 448120135728408 in words is "four hundred forty-eight trillion, one hundred twenty billion, one hundred thirty-five million, seven hundred twenty-eight thousand, four hundred eight".