404441210880 has 1344 divisors, whose sum is σ = 1724823210240. Its totient is φ = 85614133248.

The previous prime is 404441210839. The next prime is 404441210881. The reversal of 404441210880 is 88012144404.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (404441210881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3579125704 + ... + 3579125816.

Almost surely, 2^404441210880 is an apocalyptic number.

404441210880 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 404441210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862411605120).

404441210880 is an abundant number, since it is smaller than the sum of its proper divisors (1320381999360).

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

404441210880 is a wasteful number, since it uses less digits than its factorization.

404441210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 404441210880 in words is "four hundred four billion, four hundred forty-one million, two hundred ten thousand, eight hundred eighty".