42434022043424 has 96 divisors (see below), whose sum is σ = 91236426865920. Its totient is φ = 19267094937600.

The previous prime is 42434022043409. The next prime is 42434022043447.

It is a happy number.

42434022043424 is nontrivially palindromic in base 10.

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, 2378713097 + ... + 2378730935.

It is an arithmetic number, because the mean of its divisors is an integer number (950379446520).

Almost surely, 2^{42434022043424} is an apocalyptic number.

42434022043424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42434022043424 is an abundant number, since it is smaller than the sum of its proper divisors (48802404822496).

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

42434022043424 is a wasteful number, since it uses less digits than its factorization.

42434022043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24874 (or 24866 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

It can be divided in two parts, 4243402 and 2043424, that added together give a palindrome (6286826).

The spelling of 42434022043424 in words is "forty-two trillion, four hundred thirty-four billion, twenty-two million, forty-three thousand, four hundred twenty-four".