211410220400 has 120 divisors (see below), whose sum is σ = 527388343200. Its totient is φ = 81343360000.

The previous prime is 211410220393. The next prime is 211410220493. The reversal of 211410220400 is 4022014112.

211410220400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3086525 + ... + 3154275.

It is an arithmetic number, because the mean of its divisors is an integer number (4394902860).

Almost surely, 2^211410220400 is an apocalyptic number.

211410220400 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 211410220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263694171600).

211410220400 is an abundant number, since it is smaller than the sum of its proper divisors (315978122800).

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

211410220400 is a wasteful number, since it uses less digits than its factorization.

211410220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68067 (or 68056 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 211410220400 its reverse (4022014112), we get a palindrome (215432234512).

The spelling of 211410220400 in words is "two hundred eleven billion, four hundred ten million, two hundred twenty thousand, four hundred".