211433424000 has 128 divisors (see below), whose sum is σ = 700901959680. Its totient is φ = 56382233600.

The previous prime is 211433423941. The next prime is 211433424053. The reversal of 211433424000 is 424334112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2154432 + ... + 2250431.

It is an arithmetic number, because the mean of its divisors is an integer number (5475796560).

Almost surely, 2^211433424000 is an apocalyptic number.

211433424000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211433424000 is an abundant number, since it is smaller than the sum of its proper divisors (489468535680).

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

211433424000 is an equidigital number, since it uses as much as digits as its factorization.

211433424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404895 (or 4404873 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 211433424000 its reverse (424334112), we get a palindrome (211857758112).

The spelling of 211433424000 in words is "two hundred eleven billion, four hundred thirty-three million, four hundred twenty-four thousand".