211323304241440 has 48 divisors (see below), whose sum is σ = 500209562333880. Its totient is φ = 84367077283840.

The previous prime is 211323304241437. The next prime is 211323304241449. The reversal of 211323304241440 is 44142403323112.

It can be written as a sum of positive squares in 4 ways, for example, as 96154262765584 + 115169041475856 = 9805828^2 + 10731684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211323304241396 and 211323304241405.

It is not an unprimeable number, because it can be changed into a prime (211323304241449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1267450855 + ... + 1267617574.

Almost surely, 2^{211323304241440} is an apocalyptic number.

211323304241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211323304241440 is an abundant number, since it is smaller than the sum of its proper divisors (288886258092440).

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

211323304241440 is a wasteful number, since it uses less digits than its factorization.

211323304241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535068965 (or 2535068957 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 211323304241440 its reverse (44142403323112), we get a palindrome (255465707564552).

The spelling of 211323304241440 in words is "two hundred eleven trillion, three hundred twenty-three billion, three hundred four million, two hundred forty-one thousand, four hundred forty".