8448440004000 has 144 divisors (see below), whose sum is σ = 29983513701960. Its totient is φ = 2252917324800.

The previous prime is 8448440003957. The next prime is 8448440004001. The reversal of 8448440004000 is 4000448448.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 484733427984 + 7963706576016 = 696228^2 + 2822004^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8448440004000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8448440004001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117303445 + ... + 117375444.

Almost surely, 2^{8448440004000} is an apocalyptic number.

8448440004000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8448440004000 is an abundant number, since it is smaller than the sum of its proper divisors (21535073697960).

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

8448440004000 is a wasteful number, since it uses less digits than its factorization.

8448440004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234678920 (or 234678899 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 8448440004000 in words is "eight trillion, four hundred forty-eight billion, four hundred forty million, four thousand".