80182189440 has 768 divisors, whose sum is σ = 305126553600. Its totient is φ = 19868405760.

The previous prime is 80182189433. The next prime is 80182189441. The reversal of 80182189440 is 4498128108.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80182189441) 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 95 ways as a sum of consecutive naturals, for example, 1359020131 + ... + 1359020189.

It is an arithmetic number, because the mean of its divisors is an integer number (397300200).

Almost surely, 2^80182189440 is an apocalyptic number.

80182189440 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 80182189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152563276800).

80182189440 is an abundant number, since it is smaller than the sum of its proper divisors (224944364160).

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

80182189440 is a wasteful number, since it uses less digits than its factorization.

80182189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 80182189440 in words is "eighty billion, one hundred eighty-two million, one hundred eighty-nine thousand, four hundred forty".