180271319040 has 1344 divisors, whose sum is σ = 721862668800. Its totient is φ = 42998169600.

The previous prime is 180271319003. The next prime is 180271319057. The reversal of 180271319040 is 40913172081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 180271318986 and 180271319004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4396861420 + ... + 4396861460.

It is an arithmetic number, because the mean of its divisors is an integer number (537100200).

Almost surely, 2^180271319040 is an apocalyptic number.

180271319040 is a gapful number since it is divisible by the number (10) 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 180271319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360931334400).

180271319040 is an abundant number, since it is smaller than the sum of its proper divisors (541591349760).

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

180271319040 is an equidigital number, since it uses as much as digits as its factorization.

180271319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 180271319040 in words is "one hundred eighty billion, two hundred seventy-one million, three hundred nineteen thousand, forty".