210213403400 has 384 divisors, whose sum is σ = 671507020800. Its totient is φ = 59072025600.

The previous prime is 210213403331. The next prime is 210213403409. The reversal of 210213403400 is 4304312012.

210213403400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210213403400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (210213403409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8596391 + ... + 8620809.

It is an arithmetic number, because the mean of its divisors is an integer number (1748716200).

Almost surely, 2^210213403400 is an apocalyptic number.

210213403400 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 210213403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335753510400).

210213403400 is an abundant number, since it is smaller than the sum of its proper divisors (461293617400).

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

210213403400 is a wasteful number, since it uses less digits than its factorization.

210213403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24509 (or 24500 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 210213403400 its reverse (4304312012), we get a palindrome (214517715412).

The spelling of 210213403400 in words is "two hundred ten billion, two hundred thirteen million, four hundred three thousand, four hundred".