211144022022042 has 384 divisors, whose sum is σ = 510664788541440. Its totient is φ = 62785910453760.

The previous prime is 211144022022041. The next prime is 211144022022049. The reversal of 211144022022042 is 240220220441112.

211144022022042 is a `hidden beast` number, since 2 + 1 + 1 + 14 + 402 + 20 + 220 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 211144022021997 and 211144022022015.

It is not an unprimeable number, because it can be changed into a prime (211144022022041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53549077923 + ... + 53549081865.

It is an arithmetic number, because the mean of its divisors is an integer number (1329856220160).

Almost surely, 2^{211144022022042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211144022022042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255332394270720).

211144022022042 is an abundant number, since it is smaller than the sum of its proper divisors (299520766519398).

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

211144022022042 is a wasteful number, since it uses less digits than its factorization.

211144022022042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 211144022022042 its reverse (240220220441112), we get a palindrome (451364242463154).

The spelling of 211144022022042 in words is "two hundred eleven trillion, one hundred forty-four billion, twenty-two million, twenty-two thousand, forty-two".