42433144133424 has 160 divisors (see below), whose sum is σ = 121848938668800. Its totient is φ = 12615053767680.

The previous prime is 42433144133399. The next prime is 42433144133461.

42433144133424 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42433144133424³ (a number of 42 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 494406387 + ... + 494492205.

It is an arithmetic number, because the mean of its divisors is an integer number (761555866680).

Almost surely, 2^{42433144133424} is an apocalyptic number.

42433144133424 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 42433144133424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60924469334400).

42433144133424 is an abundant number, since it is smaller than the sum of its proper divisors (79415794535376).

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

42433144133424 is a wasteful number, since it uses less digits than its factorization.

42433144133424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103563 (or 103557 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4243314 and 4133424, that added together give a palindrome (8376738).

The spelling of 42433144133424 in words is "forty-two trillion, four hundred thirty-three billion, one hundred forty-four million, one hundred thirty-three thousand, four hundred twenty-four".