204410196144 has 540 divisors, whose sum is σ = 770018241720. Its totient is φ = 50295168000.

The previous prime is 204410196119. The next prime is 204410196149. The reversal of 204410196144 is 441691014402.

It is a happy number.

204410196144 is a `hidden beast` number, since 20 + 4 + 4 + 1 + 0 + 19 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204410196099 and 204410196108.

It is not an unprimeable number, because it can be changed into a prime (204410196149) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16215444 + ... + 16228044.

Almost surely, 2^204410196144 is an apocalyptic number.

204410196144 is a gapful number since it is divisible by the number (24) 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 204410196144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385009120860).

204410196144 is an abundant number, since it is smaller than the sum of its proper divisors (565608045576).

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

204410196144 is a wasteful number, since it uses less digits than its factorization.

204410196144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12670 (or 12643 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 204410196144 in words is "two hundred four billion, four hundred ten million, one hundred ninety-six thousand, one hundred forty-four".