42423431424 has 144 divisors (see below), whose sum is σ = 123314716224. Its totient is φ = 12840755200.

The previous prime is 42423431389. The next prime is 42423431489. The reversal of 42423431424 is 42413432424.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8960962 + ... + 8965694.

It is an arithmetic number, because the mean of its divisors is an integer number (856352196).

Almost surely, 2^42423431424 is an apocalyptic number.

42423431424 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 42423431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61657358112).

42423431424 is an abundant number, since it is smaller than the sum of its proper divisors (80891284800).

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

42423431424 is a wasteful number, since it uses less digits than its factorization.

42423431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824 (or 5810 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

Adding to 42423431424 its reverse (42413432424), we get a palindrome (84836863848).

The spelling of 42423431424 in words is "forty-two billion, four hundred twenty-three million, four hundred thirty-one thousand, four hundred twenty-four".