404342440000 has 140 divisors (see below), whose sum is σ = 1006285045084. Its totient is φ = 161148672000.

The previous prime is 404342439947. The next prime is 404342440013. The reversal of 404342440000 is 44243404.

It can be written as a sum of positive squares in 10 ways, for example, as 404129746944 + 212693056 = 635712^2 + 14584^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11061754 + ... + 11098246.

Almost surely, 2^404342440000 is an apocalyptic number.

404342440000 is a gapful number since it is divisible by the number (40) 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 404342440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503142522542).

404342440000 is an abundant number, since it is smaller than the sum of its proper divisors (601942605084).

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

404342440000 is an equidigital number, since it uses as much as digits as its factorization.

404342440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36802 (or 36777 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 404342440000 its reverse (44243404), we get a palindrome (404386683404).

The spelling of 404342440000 in words is "four hundred four billion, three hundred forty-two million, four hundred forty thousand".