211043030341440 has 448 divisors, whose sum is σ = 733502430904320. Its totient is φ = 50985227304960.

The previous prime is 211043030341439. The next prime is 211043030341453. The reversal of 211043030341440 is 44143030340112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 211043030341398 and 211043030341407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19987022881 + ... + 19987033439.

It is an arithmetic number, because the mean of its divisors is an integer number (1637282211840).

Almost surely, 2^{211043030341440} is an apocalyptic number.

211043030341440 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 211043030341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366751215452160).

211043030341440 is an abundant number, since it is smaller than the sum of its proper divisors (522459400562880).

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

211043030341440 is a wasteful number, since it uses less digits than its factorization.

211043030341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16950 (or 16940 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 211043030341440 its reverse (44143030340112), we get a palindrome (255186060681552).

The spelling of 211043030341440 in words is "two hundred eleven trillion, forty-three billion, thirty million, three hundred forty-one thousand, four hundred forty".