211142041420 has 48 divisors (see below), whose sum is σ = 465071080320. Its totient is φ = 80425799424.

The previous prime is 211142041391. The next prime is 211142041477. The reversal of 211142041420 is 24140241112.

211142041420 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 = 211142041391 and 211142041400.

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 15 ways as a sum of consecutive naturals, for example, 3000615 + ... + 3070174.

It is an arithmetic number, because the mean of its divisors is an integer number (9688980840).

Almost surely, 2^211142041420 is an apocalyptic number.

211142041420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211142041420 is an abundant number, since it is smaller than the sum of its proper divisors (253929038900).

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

211142041420 is a wasteful number, since it uses less digits than its factorization.

211142041420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070882 (or 6070880 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 211142041420 its reverse (24140241112), we get a palindrome (235282282532).

The spelling of 211142041420 in words is "two hundred eleven billion, one hundred forty-two million, forty-one thousand, four hundred twenty".