42434033043424 has 96 divisors (see below), whose sum is σ = 92103592220640. Its totient is φ = 19083837696000.

The previous prime is 42434033043397. The next prime is 42434033043461.

42434033043424 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42434033043424³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50386182 + ... + 51221434.

It is an arithmetic number, because the mean of its divisors is an integer number (959412418965).

Almost surely, 2^{42434033043424} is an apocalyptic number.

42434033043424 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 42434033043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46051796110320).

42434033043424 is an abundant number, since it is smaller than the sum of its proper divisors (49669559177216).

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

42434033043424 is a wasteful number, since it uses less digits than its factorization.

42434033043424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836804 (or 836796 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

It can be divided in two parts, 4243403 and 3043424, that added together give a palindrome (7286827).

The spelling of 42434033043424 in words is "forty-two trillion, four hundred thirty-four billion, thirty-three million, forty-three thousand, four hundred twenty-four".