404244330221200 has 480 divisors, whose sum is σ = 1204344549158400. Its totient is φ = 127337274408960.

The previous prime is 404244330221189. The next prime is 404244330221261. The reversal of 404244330221200 is 2122033442404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359886046 + ... + 361007554.

It is an arithmetic number, because the mean of its divisors is an integer number (2509051144080).

Almost surely, 2^{404244330221200} is an apocalyptic number.

404244330221200 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 404244330221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602172274579200).

404244330221200 is an abundant number, since it is smaller than the sum of its proper divisors (800100218937200).

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

404244330221200 is a wasteful number, since it uses less digits than its factorization.

404244330221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121779 (or 1121768 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 404244330221200 its reverse (2122033442404), we get a palindrome (406366363663604).

The spelling of 404244330221200 in words is "four hundred four trillion, two hundred forty-four billion, three hundred thirty million, two hundred twenty-one thousand, two hundred".