404104042656 has 144 divisors (see below), whose sum is σ = 1209945522240. Its totient is φ = 127581004800.

The previous prime is 404104042651. The next prime is 404104042691. The reversal of 404104042656 is 656240401404.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 404104042656.

It is not an unprimeable number, because it can be changed into a prime (404104042651) 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, 35841436 + ... + 35852708.

It is an arithmetic number, because the mean of its divisors is an integer number (8402399460).

Almost surely, 2^404104042656 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 404104042656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604972761120).

404104042656 is an abundant number, since it is smaller than the sum of its proper divisors (805841479584).

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

404104042656 is a wasteful number, since it uses less digits than its factorization.

404104042656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17859 (or 17848 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

It can be divided in two parts, 404 and 104042656, that multiplied together give a palindrome (42033233024).

The spelling of 404104042656 in words is "four hundred four billion, one hundred four million, forty-two thousand, six hundred fifty-six".