448127354444 has 96 divisors (see below), whose sum is σ = 984698781696. Its totient is φ = 173353481280.

The previous prime is 448127354429. The next prime is 448127354471. The reversal of 448127354444 is 444453721844.

It is a junction number, because it is equal to n+sod(n) for n = 448127354392 and 448127354401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50557157 + ... + 50566019.

It is an arithmetic number, because the mean of its divisors is an integer number (10257278976).

Almost surely, 2^448127354444 is an apocalyptic number.

448127354444 is a gapful number since it is divisible by the number (44) 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 448127354444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492349390848).

448127354444 is an abundant number, since it is smaller than the sum of its proper divisors (536571427252).

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

448127354444 is a wasteful number, since it uses less digits than its factorization.

448127354444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10035 (or 10033 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 50.

The spelling of 448127354444 in words is "four hundred forty-eight billion, one hundred twenty-seven million, three hundred fifty-four thousand, four hundred forty-four".