42413231424 has 112 divisors (see below), whose sum is σ = 115534440000. Its totient is φ = 13721849856.

The previous prime is 42413231423. The next prime is 42413231437.

42413231424 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 42413231391 and 42413231400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42413231423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2969452 + ... + 2983700.

It is an arithmetic number, because the mean of its divisors is an integer number (1031557500).

Almost surely, 2^42413231424 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 42413231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57767220000).

42413231424 is an abundant number, since it is smaller than the sum of its proper divisors (73121208576).

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

42413231424 is a wasteful number, since it uses less digits than its factorization.

42413231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14720 (or 14710 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The spelling of 42413231424 in words is "forty-two billion, four hundred thirteen million, two hundred thirty-one thousand, four hundred twenty-four".