211410133400 has 192 divisors, whose sum is σ = 547528572000. Its totient is φ = 75540684800.

The previous prime is 211410133391. The next prime is 211410133409. The reversal of 211410133400 is 4331014112.

It is an interprime number because it is at equal distance from previous prime (211410133391) and next prime (211410133409).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211410133409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5799230 + ... + 5835570.

Almost surely, 2^211410133400 is an apocalyptic number.

211410133400 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 211410133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273764286000).

211410133400 is an abundant number, since it is smaller than the sum of its proper divisors (336118438600).

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

211410133400 is a wasteful number, since it uses less digits than its factorization.

211410133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36462 (or 36453 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211410133400 its reverse (4331014112), we get a palindrome (215741147512).

The spelling of 211410133400 in words is "two hundred eleven billion, four hundred ten million, one hundred thirty-three thousand, four hundred".