42000333431144 has 128 divisors (see below), whose sum is σ = 89788275118080. Its totient is φ = 18231850348800.

The previous prime is 42000333431141. The next prime is 42000333431149. The reversal of 42000333431144 is 44113433300024.

42000333431144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42000333431144.

It is not an unprimeable number, because it can be changed into a prime (42000333431141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3555427382 + ... + 3555439194.

It is an arithmetic number, because the mean of its divisors is an integer number (701470899360).

Almost surely, 2^{42000333431144} is an apocalyptic number.

42000333431144 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 42000333431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44894137559040).

42000333431144 is an abundant number, since it is smaller than the sum of its proper divisors (47787941686936).

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

42000333431144 is a wasteful number, since it uses less digits than its factorization.

42000333431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14511 (or 14507 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 42000333431144 its reverse (44113433300024), we get a palindrome (86113766731168).

The spelling of 42000333431144 in words is "forty-two trillion, three hundred thirty-three million, four hundred thirty-one thousand, one hundred forty-four".