448040521728 has 156 divisors (see below), whose sum is σ = 1297216369540. Its totient is φ = 148996620288.

The previous prime is 448040521681. The next prime is 448040521739. The reversal of 448040521728 is 827125040844.

448040521728 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 405 + 217 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53616328704 + 394424193024 = 231552^2 + 628032^2 .

It is a super-2 number, since 2×448040521728² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15948078 + ... + 15976146.

Almost surely, 2^448040521728 is an apocalyptic number.

448040521728 is a gapful number since it is divisible by the number (48) 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 448040521728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648608184770).

448040521728 is an abundant number, since it is smaller than the sum of its proper divisors (849175847812).

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

448040521728 is a wasteful number, since it uses less digits than its factorization.

448040521728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28532 (or 28507 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 448040521728 in words is "four hundred forty-eight billion, forty million, five hundred twenty-one thousand, seven hundred twenty-eight".