211443132040 has 128 divisors (see below), whose sum is σ = 557303040000. Its totient is φ = 72168655104.

The previous prime is 211443132031. The next prime is 211443132071. The reversal of 211443132040 is 40231344112.

211443132040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211443131996 and 211443132014.

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 31 ways as a sum of consecutive naturals, for example, 3025006 + ... + 3094114.

It is an arithmetic number, because the mean of its divisors is an integer number (4353930000).

Almost surely, 2^211443132040 is an apocalyptic number.

211443132040 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 211443132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278651520000).

211443132040 is an abundant number, since it is smaller than the sum of its proper divisors (345859907960).

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

211443132040 is a wasteful number, since it uses less digits than its factorization.

211443132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69364 (or 69346 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 211443132040 its reverse (40231344112), we get a palindrome (251674476152).

The spelling of 211443132040 in words is "two hundred eleven billion, four hundred forty-three million, one hundred thirty-two thousand, forty".