42324642324 has 72 divisors (see below), whose sum is σ = 110537376768. Its totient is φ = 13644642240.

The previous prime is 42324642281. The next prime is 42324642359.

42324642324 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 4 + 642 + 3 + 2 + 4 = 666.

42324642324 is nontrivially palindromic in base 10.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127309 + ... + 317579.

It is an arithmetic number, because the mean of its divisors is an integer number (1535241344).

Almost surely, 2^42324642324 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 42324642324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55268688384).

42324642324 is an abundant number, since it is smaller than the sum of its proper divisors (68212734444).

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

42324642324 is a wasteful number, since it uses less digits than its factorization.

42324642324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190485 (or 190480 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

The spelling of 42324642324 in words is "forty-two billion, three hundred twenty-four million, six hundred forty-two thousand, three hundred twenty-four".