42431122113424 has 80 divisors (see below), whose sum is σ = 90612603297216. Its totient is φ = 19087183872000.

The previous prime is 42431122113383. The next prime is 42431122113427.

42431122113424 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42431122113424.

It is not an unprimeable number, because it can be changed into a prime (42431122113427) 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, 526067499 + ... + 526148149.

Almost surely, 2^{42431122113424} is an apocalyptic number.

42431122113424 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 42431122113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45306301648608).

42431122113424 is an abundant number, since it is smaller than the sum of its proper divisors (48181481183792).

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

42431122113424 is a wasteful number, since it uses less digits than its factorization.

42431122113424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111584 (or 111578 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 4243112 and 2113424, that added together give a palindrome (6356536).

The spelling of 42431122113424 in words is "forty-two trillion, four hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, four hundred twenty-four".