220404104000 has 448 divisors, whose sum is σ = 593123731200. Its totient is φ = 80870400000.

The previous prime is 220404103999. The next prime is 220404104009. The reversal of 220404104000 is 401404022.

It is a self number, because there is not a number n which added to its sum of digits gives 220404104000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220404104009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 878103875 + ... + 878104125.

It is an arithmetic number, because the mean of its divisors is an integer number (1323936900).

Almost surely, 2^220404104000 is an apocalyptic number.

220404104000 is a gapful number since it is divisible by the number (20) 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 220404104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296561865600).

220404104000 is an abundant number, since it is smaller than the sum of its proper divisors (372719627200).

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

220404104000 is a wasteful number, since it uses less digits than its factorization.

220404104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 220404104000 its reverse (401404022), we get a palindrome (220805508022).

The spelling of 220404104000 in words is "two hundred twenty billion, four hundred four million, one hundred four thousand".