42361416324 has 18 divisors (see below), whose sum is σ = 107080246910. Its totient is φ = 14120472096.

The previous prime is 42361416299. The next prime is 42361416329.

42361416324 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 14 + 1 + 632 + 4 = 666.

42361416324 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 29189722500 + 13171693824 = 170850^2 + 114768^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1176706009 = 42361416324 / (4 + 2 + 3 + 6 + 1 + 4 + 1 + 6 + 3 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42361416329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 588352969 + ... + 588353040.

Almost surely, 2^42361416324 is an apocalyptic number.

It is an amenable number.

42361416324 is an abundant number, since it is smaller than the sum of its proper divisors (64718830586).

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

42361416324 is a wasteful number, since it uses less digits than its factorization.

42361416324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176706019 (or 1176706014 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 42361416324 in words is "forty-two billion, three hundred sixty-one million, four hundred sixteen thousand, three hundred twenty-four".