404343000343404 has 72 divisors (see below), whose sum is σ = 1033192949443200. Its totient is φ = 133319320416000.

The previous prime is 404343000343253. The next prime is 404343000343409.

404343000343404 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 4 + 300 + 0 + 3 + 4 + 340 + 4 = 666.

404343000343404 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (404343000343409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49191292 + ... + 56819619.

It is an arithmetic number, because the mean of its divisors is an integer number (14349902075600).

Almost surely, 2^{404343000343404} is an apocalyptic number.

It is an amenable number.

404343000343404 is an abundant number, since it is smaller than the sum of its proper divisors (628849949099796).

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

404343000343404 is a wasteful number, since it uses less digits than its factorization.

404343000343404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106012071 (or 106012066 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 404343000 and 343404, that added together give a palindrome (404686404).

The spelling of 404343000343404 in words is "four hundred four trillion, three hundred forty-three billion, three hundred forty-three thousand, four hundred four".