42032412180 has 288 divisors, whose sum is σ = 150371544960. Its totient is φ = 9392163840.

The previous prime is 42032412179. The next prime is 42032412181. The reversal of 42032412180 is 8121423024.

42032412180 is a `hidden beast` number, since 4 + 203 + 241 + 218 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42032412179) and next prime (42032412181).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032412181) 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, 1376842 + ... + 1407038.

It is an arithmetic number, because the mean of its divisors is an integer number (522123420).

Almost surely, 2^42032412180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42032412180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75185772480).

42032412180 is an abundant number, since it is smaller than the sum of its proper divisors (108339132780).

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

42032412180 is a wasteful number, since it uses less digits than its factorization.

42032412180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30279 (or 30274 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 42032412180 in words is "forty-two billion, thirty-two million, four hundred twelve thousand, one hundred eighty".