404314401114 has 144 divisors (see below), whose sum is σ = 954786432600. Its totient is φ = 123594232320.

The previous prime is 404314401107. The next prime is 404314401131. The reversal of 404314401114 is 411104413404.

404314401114 is a `hidden beast` number, since 404 + 3 + 144 + 0 + 1 + 114 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 13960604025 + 390353797089 = 118155^2 + 624783^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 395997924 + ... + 395998944.

Almost surely, 2^404314401114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404314401114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477393216300).

404314401114 is an abundant number, since it is smaller than the sum of its proper divisors (550472031486).

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

404314401114 is a wasteful number, since it uses less digits than its factorization.

404314401114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1761 counting only the distinct ones).

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

Adding to 404314401114 its reverse (411104413404), we get a palindrome (815418814518).

The spelling of 404314401114 in words is "four hundred four billion, three hundred fourteen million, four hundred one thousand, one hundred fourteen".