210133033431400 has 96 divisors (see below), whose sum is σ = 504421628878080. Its totient is φ = 81325311552000.

The previous prime is 210133033431341. The next prime is 210133033431437. The reversal of 210133033431400 is 4134330331012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27135532 + ... + 34008868.

It is an arithmetic number, because the mean of its divisors is an integer number (5254391967480).

Almost surely, 2^{210133033431400} is an apocalyptic number.

210133033431400 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 210133033431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252210814439040).

210133033431400 is an abundant number, since it is smaller than the sum of its proper divisors (294288595446680).

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

210133033431400 is a wasteful number, since it uses less digits than its factorization.

210133033431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878315 (or 6878306 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 210133033431400 its reverse (4134330331012), we get a palindrome (214267363762412).

The spelling of 210133033431400 in words is "two hundred ten trillion, one hundred thirty-three billion, thirty-three million, four hundred thirty-one thousand, four hundred".