42432400423424 has 80 divisors (see below), whose sum is σ = 92896817767776. Its totient is φ = 19202487398400.

The previous prime is 42432400423363. The next prime is 42432400423499.

It is a happy number.

42432400423424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15316607 + ... + 17873534.

Almost surely, 2^{42432400423424} is an apocalyptic number.

42432400423424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42432400423424 is an abundant number, since it is smaller than the sum of its proper divisors (50464417344352).

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

42432400423424 is a wasteful number, since it uses less digits than its factorization.

42432400423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33190397 (or 33190381 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, 42432400 and 423424, that added together give a palindrome (42855824).

The spelling of 42432400423424 in words is "forty-two trillion, four hundred thirty-two billion, four hundred million, four hundred twenty-three thousand, four hundred twenty-four".