210000032400 has 120 divisors (see below), whose sum is σ = 677540211040. Its totient is φ = 55597086720.

The previous prime is 210000032357. The next prime is 210000032413. The reversal of 210000032400 is 4230000012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 462697 + ... + 796296.

Almost surely, 2^210000032400 is an apocalyptic number.

210000032400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210000032400 is an abundant number, since it is smaller than the sum of its proper divisors (467540178640).

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

210000032400 is a wasteful number, since it uses less digits than its factorization.

210000032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259153 (or 1259142 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 210000032400 its reverse (4230000012), we get a palindrome (214230032412).

The spelling of 210000032400 in words is "two hundred ten billion, thirty-two thousand, four hundred".