404242310112 has 96 divisors (see below), whose sum is σ = 1078069305600. Its totient is φ = 132612722688.

The previous prime is 404242310081. The next prime is 404242310119. The reversal of 404242310112 is 211013242404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404242310119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1545589 + ... + 1788107.

It is an arithmetic number, because the mean of its divisors is an integer number (11229888600).

Almost surely, 2^404242310112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404242310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539034652800).

404242310112 is an abundant number, since it is smaller than the sum of its proper divisors (673826995488).

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

404242310112 is a wasteful number, since it uses less digits than its factorization.

404242310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242808 (or 242800 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 404242310112 its reverse (211013242404), we get a palindrome (615255552516).

The spelling of 404242310112 in words is "four hundred four billion, two hundred forty-two million, three hundred ten thousand, one hundred twelve".