404434040010 has 512 divisors, whose sum is σ = 1346525945856. Its totient is φ = 75022848000.

The previous prime is 404434040009. The next prime is 404434040011. The reversal of 404434040010 is 10040434404.

It is an interprime number because it is at equal distance from previous prime (404434040009) and next prime (404434040011).

It is not an unprimeable number, because it can be changed into a prime (404434040011) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 201109905 + ... + 201111915.

It is an arithmetic number, because the mean of its divisors is an integer number (2629933488).

Almost surely, 2^404434040010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404434040010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673262972928).

404434040010 is an abundant number, since it is smaller than the sum of its proper divisors (942091905846).

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

404434040010 is a wasteful number, since it uses less digits than its factorization.

404434040010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 404434040010 its reverse (10040434404), we get a palindrome (414474474414).

The spelling of 404434040010 in words is "four hundred four billion, four hundred thirty-four million, forty thousand, ten".