42323466432324 has 192 divisors, whose sum is σ = 123464755814400. Its totient is φ = 10962589248000.

The previous prime is 42323466432319. The next prime is 42323466432367.

It is a happy number.

42323466432324 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2411447349 + ... + 2411464899.

It is an arithmetic number, because the mean of its divisors is an integer number (643045603200).

Almost surely, 2^{42323466432324} is an apocalyptic number.

42323466432324 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 42323466432324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61732377907200).

42323466432324 is an abundant number, since it is smaller than the sum of its proper divisors (81141289382076).

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

42323466432324 is a wasteful number, since it uses less digits than its factorization.

42323466432324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24674 (or 24672 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

The spelling of 42323466432324 in words is "forty-two trillion, three hundred twenty-three billion, four hundred sixty-six million, four hundred thirty-two thousand, three hundred twenty-four".