448110673920 has 720 divisors, whose sum is σ = 1912166780160. Its totient is φ = 94532272128.

The previous prime is 448110673903. The next prime is 448110673921. The reversal of 448110673920 is 29376011844.

448110673920 is a `hidden beast` number, since 4 + 481 + 10 + 6 + 73 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (448110673921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 67089141 + ... + 67095819.

Almost surely, 2^448110673920 is an apocalyptic number.

448110673920 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 448110673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956083390080).

448110673920 is an abundant number, since it is smaller than the sum of its proper divisors (1464056106240).

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

448110673920 is a wasteful number, since it uses less digits than its factorization.

448110673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 448110673920 in words is "four hundred forty-eight billion, one hundred ten million, six hundred seventy-three thousand, nine hundred twenty".