404144412224 has 224 divisors, whose sum is σ = 955110648576. Its totient is φ = 166070476800.

The previous prime is 404144412193. The next prime is 404144412253. The reversal of 404144412224 is 422214441404.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473791382 + ... + 473792234.

It is an arithmetic number, because the mean of its divisors is an integer number (4263886824).

Almost surely, 2^404144412224 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 404144412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477555324288).

404144412224 is an abundant number, since it is smaller than the sum of its proper divisors (550966236352).

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

404144412224 is a wasteful number, since it uses less digits than its factorization.

404144412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 404144412224 its reverse (422214441404), we get a palindrome (826358853628).

The spelling of 404144412224 in words is "four hundred four billion, one hundred forty-four million, four hundred twelve thousand, two hundred twenty-four".