404442343120 has 20 divisors (see below), whose sum is σ = 940328447940. Its totient is φ = 161776937216.

The previous prime is 404442343117. The next prime is 404442343121. The reversal of 404442343120 is 21343244404.

It can be written as a sum of positive squares in 2 ways, for example, as 90784100416 + 313658242704 = 301304^2 + 560052^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×404442343120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404442343121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2527764565 + ... + 2527764724.

It is an arithmetic number, because the mean of its divisors is an integer number (47016422397).

Almost surely, 2^404442343120 is an apocalyptic number.

404442343120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404442343120 is an abundant number, since it is smaller than the sum of its proper divisors (535886104820).

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

404442343120 is a wasteful number, since it uses less digits than its factorization.

404442343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055529302 (or 5055529296 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 404442343120 its reverse (21343244404), we get a palindrome (425785587524).

The spelling of 404442343120 in words is "four hundred four billion, four hundred forty-two million, three hundred forty-three thousand, one hundred twenty".