404442311112 has 160 divisors (see below), whose sum is σ = 1298810747520. Its totient is φ = 115182984960.

The previous prime is 404442311059. The next prime is 404442311183. The reversal of 404442311112 is 211113244404.

404442311112 is a `hidden beast` number, since 404 + 4 + 4 + 231 + 11 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1267348 + ... + 1554044.

It is an arithmetic number, because the mean of its divisors is an integer number (8117567172).

Almost surely, 2^404442311112 is an apocalyptic number.

404442311112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404442311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649405373760).

404442311112 is an abundant number, since it is smaller than the sum of its proper divisors (894368436408).

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

404442311112 is a wasteful number, since it uses less digits than its factorization.

404442311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287033 (or 287020 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 404442311112 its reverse (211113244404), we get a palindrome (615555555516).

The spelling of 404442311112 in words is "four hundred four billion, four hundred forty-two million, three hundred eleven thousand, one hundred twelve".