448880008000 has 56 divisors (see below), whose sum is σ = 1111651359624. Its totient is φ = 179552000000.

The previous prime is 448880007973. The next prime is 448880008009. The reversal of 448880008000 is 800088844.

It can be written as a sum of positive squares in 4 ways, for example, as 6261240384 + 442618767616 = 79128^2 + 665296^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448880008009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28047001 + ... + 28063000.

Almost surely, 2^448880008000 is an apocalyptic number.

448880008000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448880008000 is an abundant number, since it is smaller than the sum of its proper divisors (662771351624).

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

448880008000 is an equidigital number, since it uses as much as digits as its factorization.

448880008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56110028 (or 56110008 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 448880008000 in words is "four hundred forty-eight billion, eight hundred eighty million, eight thousand".