80412322321408 has 176 divisors, whose sum is σ = 203807547302400. Its totient is φ = 30798466375680.

The previous prime is 80412322321369. The next prime is 80412322321481.

80412322321408 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×80412322321408³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3990678 + ... + 13294741.

Almost surely, 2^{80412322321408} is an apocalyptic number.

80412322321408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

80412322321408 is an abundant number, since it is smaller than the sum of its proper divisors (123395224980992).

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

80412322321408 is a wasteful number, since it uses less digits than its factorization.

80412322321408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17285516 (or 17285498 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 80412322321408 in words is "eighty trillion, four hundred twelve billion, three hundred twenty-two million, three hundred twenty-one thousand, four hundred eight".