80422940344320 has 1792 divisors, whose sum is σ = 338569211249280. Its totient is φ = 17946862682112.

The previous prime is 80422940344217. The next prime is 80422940344367. The reversal of 80422940344320 is 2344304922408.

It is a happy number.

80422940344320 is a `hidden beast` number, since 8 + 0 + 4 + 2 + 294 + 0 + 34 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 35951246242 + ... + 35951248478.

Almost surely, 2^{80422940344320} is an apocalyptic number.

80422940344320 is a gapful number since it is divisible by the number (80) 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 80422940344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169284605624640).

80422940344320 is an abundant number, since it is smaller than the sum of its proper divisors (258146270904960).

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

80422940344320 is an frugal number, since it uses more digits than its factorization.

80422940344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 80422940344320 in words is "eighty trillion, four hundred twenty-two billion, nine hundred forty million, three hundred forty-four thousand, three hundred twenty".