448431504000 has 128 divisors (see below), whose sum is σ = 1486550594880. Its totient is φ = 119581721600.

The previous prime is 448431503983. The next prime is 448431504049. The reversal of 448431504000 is 405134844.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4623162 + ... + 4719161.

Almost surely, 2^448431504000 is an apocalyptic number.

448431504000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448431504000 is an abundant number, since it is smaller than the sum of its proper divisors (1038119090880).

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

448431504000 is an equidigital number, since it uses as much as digits as its factorization.

448431504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9342355 (or 9342333 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 448431504000 its reverse (405134844), we get a palindrome (448836638844).

The spelling of 448431504000 in words is "four hundred forty-eight billion, four hundred thirty-one million, five hundred four thousand".