2204414041200 has 240 divisors, whose sum is σ = 8087775015936. Its totient is φ = 502772198400.

The previous prime is 2204414041199. The next prime is 2204414041279. The reversal of 2204414041200 is 21404144022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3587769 + ... + 4157031.

Almost surely, 2^{2204414041200} is an apocalyptic number.

2204414041200 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 2204414041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043887507968).

2204414041200 is an abundant number, since it is smaller than the sum of its proper divisors (5883360974736).

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

2204414041200 is a wasteful number, since it uses less digits than its factorization.

2204414041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569752 (or 569741 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2204414041200 its reverse (21404144022), we get a palindrome (2225818185222).

The spelling of 2204414041200 in words is "two trillion, two hundred four billion, four hundred fourteen million, forty-one thousand, two hundred".