204442031130000 has 400 divisors, whose sum is σ = 684179933538816. Its totient is φ = 52532743680000.

The previous prime is 204442031129983. The next prime is 204442031130013. The reversal of 204442031130000 is 31130244402.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 216218262 + ... + 217161738.

Almost surely, 2^{204442031130000} is an apocalyptic number.

204442031130000 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 204442031130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342089966769408).

204442031130000 is an abundant number, since it is smaller than the sum of its proper divisors (479737902408816).

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

204442031130000 is a wasteful number, since it uses less digits than its factorization.

204442031130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943772 (or 943751 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 204442031130000 its reverse (31130244402), we get a palindrome (204473161374402).

The spelling of 204442031130000 in words is "two hundred four trillion, four hundred forty-two billion, thirty-one million, one hundred thirty thousand".