80442209408 has 216 divisors, whose sum is σ = 183807734985. Its totient is φ = 35040445440.

The previous prime is 80442209401. The next prime is 80442209429. The reversal of 80442209408 is 80490224408.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 76304117824 + 4138091584 = 276232^2 + 64328^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=200552.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80442209401) 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 26 ways as a sum of consecutive naturals, for example, 1517777510 + ... + 1517777562.

Almost surely, 2^80442209408 is an apocalyptic number.

80442209408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80442209408

80442209408 is an abundant number, since it is smaller than the sum of its proper divisors (103365525577).

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

80442209408 is an equidigital number, since it uses as much as digits as its factorization.

80442209408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 80442209408 in words is "eighty billion, four hundred forty-two million, two hundred nine thousand, four hundred eight".