404413121440 has 24 divisors (see below), whose sum is σ = 955425999780. Its totient is φ = 161765248512.

The previous prime is 404413121401. The next prime is 404413121477. The reversal of 404413121440 is 44121314404.

It can be written as a sum of positive squares in 2 ways, for example, as 366610874256 + 37802247184 = 605484^2 + 194428^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404413121399 and 404413121408.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1263790845 + ... + 1263791164.

Almost surely, 2^404413121440 is an apocalyptic number.

404413121440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404413121440 is an abundant number, since it is smaller than the sum of its proper divisors (551012878340).

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

404413121440 is a wasteful number, since it uses less digits than its factorization.

404413121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527582024 (or 2527582016 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 404413121440 its reverse (44121314404), we get a palindrome (448534435844).

The spelling of 404413121440 in words is "four hundred four billion, four hundred thirteen million, one hundred twenty-one thousand, four hundred forty".