8040448097680 has 40 divisors (see below), whose sum is σ = 18720042019200. Its totient is φ = 3211706087808.

The previous prime is 8040448097653. The next prime is 8040448097687. The reversal of 8040448097680 is 867908440408.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×8040448097680² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8040448097687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69835110 + ... + 69950149.

It is an arithmetic number, because the mean of its divisors is an integer number (468001050480).

Almost surely, 2^{8040448097680} is an apocalyptic number.

8040448097680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8040448097680 is an abundant number, since it is smaller than the sum of its proper divisors (10679593921520).

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

8040448097680 is a wasteful number, since it uses less digits than its factorization.

8040448097680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139785991 (or 139785985 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 58.

The spelling of 8040448097680 in words is "eight trillion, forty billion, four hundred forty-eight million, ninety-seven thousand, six hundred eighty".