404021430144 has 128 divisors (see below), whose sum is σ = 1224652432800. Its totient is φ = 131033935872.

The previous prime is 404021430089. The next prime is 404021430149. The reversal of 404021430144 is 441034120404.

404021430144 is a `hidden beast` number, since 404 + 0 + 214 + 3 + 0 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404021430149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1451917 + ... + 1707660.

Almost surely, 2^404021430144 is an apocalyptic number.

It is an amenable number.

404021430144 is an abundant number, since it is smaller than the sum of its proper divisors (820631002656).

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

404021430144 is a wasteful number, since it uses less digits than its factorization.

404021430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159637 (or 3159619 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 404021430144 its reverse (441034120404), we get a palindrome (845055550548).

The spelling of 404021430144 in words is "four hundred four billion, twenty-one million, four hundred thirty thousand, one hundred forty-four".