404408442160 has 80 divisors (see below), whose sum is σ = 946202653440. Its totient is φ = 160740550400.

The previous prime is 404408442103. The next prime is 404408442161. The reversal of 404408442160 is 61244804404.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (404408442161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20768589 + ... + 20788051.

It is an arithmetic number, because the mean of its divisors is an integer number (11827533168).

Almost surely, 2^404408442160 is an apocalyptic number.

404408442160 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 404408442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473101326720).

404408442160 is an abundant number, since it is smaller than the sum of its proper divisors (541794211280).

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

404408442160 is a wasteful number, since it uses less digits than its factorization.

404408442160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21106 (or 21100 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The spelling of 404408442160 in words is "four hundred four billion, four hundred eight million, four hundred forty-two thousand, one hundred sixty".