42004404440424 has 24 divisors (see below), whose sum is σ = 113761928693010. Its totient is φ = 14001468146784.

The previous prime is 42004404440419. The next prime is 42004404440501. The reversal of 42004404440424 is 42404440440024.

42004404440424 is a `hidden beast` number, since 4 + 200 + 4 + 4 + 0 + 4 + 440 + 4 + 2 + 4 = 666.

42004404440424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 29912914332900 + 12091490107524 = 5469270^2 + 3477282^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×42004404440424³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 291697252987 + ... + 291697253130.

Almost surely, 2^{42004404440424} is an apocalyptic number.

It is an amenable number.

42004404440424 is an abundant number, since it is smaller than the sum of its proper divisors (71757524252586).

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

42004404440424 is a wasteful number, since it uses less digits than its factorization.

42004404440424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583394506129 (or 583394506122 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 42004404440424 its reverse (42404440440024), we get a palindrome (84408844880448).

The spelling of 42004404440424 in words is "forty-two trillion, four billion, four hundred four million, four hundred forty thousand, four hundred twenty-four".