204110224400400 has 480 divisors, whose sum is σ = 662756476108800. Its totient is φ = 53692657920000.

The previous prime is 204110224400399. The next prime is 204110224400419. The reversal of 204110224400400 is 4004422011402.

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 95 ways as a sum of consecutive naturals, for example, 19507805569 + ... + 19507816031.

It is an arithmetic number, because the mean of its divisors is an integer number (1380742658560).

Almost surely, 2^{204110224400400} is an apocalyptic number.

204110224400400 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 204110224400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331378238054400).

204110224400400 is an abundant number, since it is smaller than the sum of its proper divisors (458646251708400).

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

204110224400400 is a wasteful number, since it uses less digits than its factorization.

204110224400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11375 (or 11364 counting only the distinct ones).

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

Adding to 204110224400400 its reverse (4004422011402), we get a palindrome (208114646411802).

The spelling of 204110224400400 in words is "two hundred four trillion, one hundred ten billion, two hundred twenty-four million, four hundred thousand, four hundred".