4024224442404 has 36 divisors (see below), whose sum is σ = 10179463754460. Its totient is φ = 1340469426240.

The previous prime is 4024224442387. The next prime is 4024224442481. The reversal of 4024224442404 is 4042444224204.

4024224442404 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 2 + 244 + 4 + 2 + 404 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 981823356900 + 3042401085504 = 990870^2 + 1744248^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 39061227 + ... + 39164114.

Almost surely, 2^{4024224442404} is an apocalyptic number.

It is an amenable number.

4024224442404 is an abundant number, since it is smaller than the sum of its proper divisors (6155239312056).

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

4024224442404 is a wasteful number, since it uses less digits than its factorization.

4024224442404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78226780 (or 78226775 counting only the distinct ones).

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

Adding to 4024224442404 its reverse (4042444224204), we get a palindrome (8066668666608).

The spelling of 4024224442404 in words is "four trillion, twenty-four billion, two hundred twenty-four million, four hundred forty-two thousand, four hundred four".