211314404400 has 480 divisors, whose sum is σ = 797158264320. Its totient is φ = 47308800000.

The previous prime is 211314404393. The next prime is 211314404417. The reversal of 211314404400 is 4404413112.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8792400 + ... + 8816400.

It is an arithmetic number, because the mean of its divisors is an integer number (1660746384).

Almost surely, 2^211314404400 is an apocalyptic number.

211314404400 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 211314404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398579132160).

211314404400 is an abundant number, since it is smaller than the sum of its proper divisors (585843859920).

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

211314404400 is a wasteful number, since it uses less digits than its factorization.

211314404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24085 (or 24074 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211314404400 its reverse (4404413112), we get a palindrome (215718817512).

The spelling of 211314404400 in words is "two hundred eleven billion, three hundred fourteen million, four hundred four thousand, four hundred".