404441432424 has 80 divisors (see below), whose sum is σ = 1134525478020. Its totient is φ = 134609713920.

The previous prime is 404441432407. The next prime is 404441432429. The reversal of 404441432424 is 424234144404.

It is a happy number.

404441432424 is a `hidden beast` number, since 404 + 4 + 4 + 1 + 4 + 3 + 242 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 402567408324 + 1874024100 = 634482^2 + 43290^2 .

It is a super-2 number, since 2×404441432424² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (404441432429) 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 19 ways as a sum of consecutive naturals, for example, 43789 + ... + 900444.

Almost surely, 2^404441432424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404441432424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567262739010).

404441432424 is an abundant number, since it is smaller than the sum of its proper divisors (730084045596).

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

404441432424 is a wasteful number, since it uses less digits than its factorization.

404441432424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944912 (or 944899 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 404441432424 its reverse (424234144404), we get a palindrome (828675576828).

The spelling of 404441432424 in words is "four hundred four billion, four hundred forty-one million, four hundred thirty-two thousand, four hundred twenty-four".