404240342411340 has 144 divisors (see below), whose sum is σ = 1234410399855360. Its totient is φ = 107075362665600.

The previous prime is 404240342411333. The next prime is 404240342411377. The reversal of 404240342411340 is 43114243042404.

404240342411340 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 40 + 34 + 241 + 1 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404240342411295 and 404240342411304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359818767 + ... + 360940473.

It is an arithmetic number, because the mean of its divisors is an integer number (8572294443440).

Almost surely, 2^{404240342411340} 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 404240342411340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617205199927680).

404240342411340 is an abundant number, since it is smaller than the sum of its proper divisors (830170057444020).

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

404240342411340 is a wasteful number, since it uses less digits than its factorization.

404240342411340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135132 (or 1135127 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 404240342411340 its reverse (43114243042404), we get a palindrome (447354585453744).

The spelling of 404240342411340 in words is "four hundred four trillion, two hundred forty billion, three hundred forty-two million, four hundred eleven thousand, three hundred forty".