404022332400040 has 16 divisors (see below), whose sum is σ = 909050247900180. Its totient is φ = 161608932960000.

The previous prime is 404022332400019. The next prime is 404022332400079. The reversal of 404022332400040 is 40004233220404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 403918108025796 + 104224374244 = 20097714^2 + 322838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404022332399981 and 404022332400008.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5050279154961 + ... + 5050279155040.

Almost surely, 2^{404022332400040} is an apocalyptic number.

404022332400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404022332400040 is an abundant number, since it is smaller than the sum of its proper divisors (505027915500140).

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

404022332400040 is a wasteful number, since it uses less digits than its factorization.

404022332400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100558310012 (or 10100558310008 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 404022332400040 its reverse (40004233220404), we get a palindrome (444026565620444).

The spelling of 404022332400040 in words is "four hundred four trillion, twenty-two billion, three hundred thirty-two million, four hundred thousand, forty".