404412214010120 has 32 divisors (see below), whose sum is σ = 909931330373400. Its totient is φ = 161764201363968.

The previous prime is 404412214010099. The next prime is 404412214010239. The reversal of 404412214010120 is 21010412214404.

It can be written as a sum of positive squares in 4 ways, for example, as 402618912713956 + 1793301296164 = 20065366^2 + 1339142^2 .

It is a super-2 number, since 2×404412214010120² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404412214010120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11754155 + ... + 30773114.

Almost surely, 2^{404412214010120} is an apocalyptic number.

404412214010120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404412214010120 is an abundant number, since it is smaller than the sum of its proper divisors (505519116363280).

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

404412214010120 is a wasteful number, since it uses less digits than its factorization.

404412214010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42765017 (or 42765013 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 404412214010120 its reverse (21010412214404), we get a palindrome (425422626224524).

The spelling of 404412214010120 in words is "four hundred four trillion, four hundred twelve billion, two hundred fourteen million, ten thousand, one hundred twenty".