211131430400 has 240 divisors, whose sum is σ = 575925839280. Its totient is φ = 76065177600.

The previous prime is 211131430373. The next prime is 211131430409. The reversal of 211131430400 is 4034131112.

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 (211131430409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15340322 + ... + 15354078.

It is an arithmetic number, because the mean of its divisors is an integer number (2399690997).

Almost surely, 2^211131430400 is an apocalyptic number.

211131430400 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 211131430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287962919640).

211131430400 is an abundant number, since it is smaller than the sum of its proper divisors (364794408880).

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

211131430400 is a wasteful number, since it uses less digits than its factorization.

211131430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13905 (or 13884 counting only the distinct ones).

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

Adding to 211131430400 its reverse (4034131112), we get a palindrome (215165561512).

The spelling of 211131430400 in words is "two hundred eleven billion, one hundred thirty-one million, four hundred thirty thousand, four hundred".