201050404800 has 672 divisors, whose sum is σ = 800901453312. Its totient is φ = 43104337920.

The previous prime is 201050404757. The next prime is 201050404813. The reversal of 201050404800 is 8404050102.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 298737264 + ... + 298737936.

Almost surely, 2^201050404800 is an apocalyptic number.

201050404800 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 201050404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400450726656).

201050404800 is an abundant number, since it is smaller than the sum of its proper divisors (599851048512).

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

201050404800 is a wasteful number, since it uses less digits than its factorization.

201050404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 201050404800 its reverse (8404050102), we get a palindrome (209454454902).

The spelling of 201050404800 in words is "two hundred one billion, fifty million, four hundred four thousand, eight hundred".