404042442132320 has 48 divisors (see below), whose sum is σ = 954551739855168. Its totient is φ = 161616727910400.

The previous prime is 404042442132293. The next prime is 404042442132323. The reversal of 404042442132320 is 23231244240404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404042442132323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130243097 + ... + 133309223.

It is an arithmetic number, because the mean of its divisors is an integer number (19886494580316).

Almost surely, 2^{404042442132320} is an apocalyptic number.

404042442132320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404042442132320 is an abundant number, since it is smaller than the sum of its proper divisors (550509297722848).

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

404042442132320 is a wasteful number, since it uses less digits than its factorization.

404042442132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889743 (or 3889735 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 404042442132320 its reverse (23231244240404), we get a palindrome (427273686372724).

The spelling of 404042442132320 in words is "four hundred four trillion, forty-two billion, four hundred forty-two million, one hundred thirty-two thousand, three hundred twenty".