448084040004 has 18 divisors (see below), whose sum is σ = 1132656878990. Its totient is φ = 149361346656.

The previous prime is 448084039999. The next prime is 448084040017. The reversal of 448084040004 is 400040480844.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 351468751104 + 96615288900 = 592848^2 + 310830^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12446778889 = 448084040004 / (4 + 4 + 8 + 0 + 8 + 4 + 0 + 4 + 0 + 0 + 0 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6223389409 + ... + 6223389480.

Almost surely, 2^448084040004 is an apocalyptic number.

It is an amenable number.

448084040004 is an abundant number, since it is smaller than the sum of its proper divisors (684572838986).

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

448084040004 is a wasteful number, since it uses less digits than its factorization.

448084040004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446778899 (or 12446778894 counting only the distinct ones).

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

The spelling of 448084040004 in words is "four hundred forty-eight billion, eighty-four million, forty thousand, four".