42433033033424 has 160 divisors (see below), whose sum is σ = 95463639936000. Its totient is φ = 18057657784320.

The previous prime is 42433033033423. The next prime is 42433033033507.

42433033033424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42433033033424² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433033033423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4684070207 + ... + 4684079265.

It is an arithmetic number, because the mean of its divisors is an integer number (596647749600).

Almost surely, 2^{42433033033424} is an apocalyptic number.

42433033033424 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 42433033033424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47731819968000).

42433033033424 is an abundant number, since it is smaller than the sum of its proper divisors (53030606902576).

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

42433033033424 is a wasteful number, since it uses less digits than its factorization.

42433033033424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17161 (or 17155 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 38.

It can be divided in two parts, 4243303 and 3033424, that added together give a palindrome (7276727).

The spelling of 42433033033424 in words is "forty-two trillion, four hundred thirty-three billion, thirty-three million, thirty-three thousand, four hundred twenty-four".