211143201140 has 96 divisors (see below), whose sum is σ = 488417368320. Its totient is φ = 76315447296.

The previous prime is 211143201127. The next prime is 211143201211. The reversal of 211143201140 is 41102341112.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3051002 + ... + 3119438.

It is an arithmetic number, because the mean of its divisors is an integer number (5087680920).

Almost surely, 2^211143201140 is an apocalyptic number.

211143201140 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 211143201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244208684160).

211143201140 is an abundant number, since it is smaller than the sum of its proper divisors (277274167180).

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

211143201140 is a wasteful number, since it uses less digits than its factorization.

211143201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68841 (or 68839 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 211143201140 its reverse (41102341112), we get a palindrome (252245542252).

The spelling of 211143201140 in words is "two hundred eleven billion, one hundred forty-three million, two hundred one thousand, one hundred forty".