42342624324 has 432 divisors, whose sum is σ = 148761942784. Its totient is φ = 9874275840.

The previous prime is 42342624283. The next prime is 42342624329.

42342624324 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 2 + 624 + 3 + 24 = 666.

42342624324 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 not an unprimeable number, because it can be changed into a prime (42342624329) 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 143 ways as a sum of consecutive naturals, for example, 14665209 + ... + 14668095.

Almost surely, 2^42342624324 is an apocalyptic number.

42342624324 is a gapful number since it is divisible by the number (44) 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 42342624324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74380971392).

42342624324 is an abundant number, since it is smaller than the sum of its proper divisors (106419318460).

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

42342624324 is a wasteful number, since it uses less digits than its factorization.

42342624324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2960 counting only the distinct ones).

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

It can be divided in two parts, 42342 and 624324, that added together give a palindrome (666666).

The spelling of 42342624324 in words is "forty-two billion, three hundred forty-two million, six hundred twenty-four thousand, three hundred twenty-four".