201353630400 has 1512 divisors, whose sum is σ = 852392121984. Its totient is φ = 44856115200.

The previous prime is 201353630389. The next prime is 201353630441. The reversal of 201353630400 is 4036353102.

It is a happy number.

201353630400 is a `hidden beast` number, since 2 + 0 + 1 + 353 + 6 + 304 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1282507122 + ... + 1282507278.

Almost surely, 2^201353630400 is an apocalyptic number.

201353630400 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 201353630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426196060992).

201353630400 is an abundant number, since it is smaller than the sum of its proper divisors (651038491584).

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

201353630400 is a wasteful number, since it uses less digits than its factorization.

201353630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 201353630400 its reverse (4036353102), we get a palindrome (205389983502).

The spelling of 201353630400 in words is "two hundred one billion, three hundred fifty-three million, six hundred thirty thousand, four hundred".