211142041020 has 144 divisors (see below), whose sum is σ = 707623076160. Its totient is φ = 50688473088.

The previous prime is 211142041009. The next prime is 211142041051. The reversal of 211142041020 is 20140241112.

211142041020 is a `hidden beast` number, since 211 + 1 + 4 + 20 + 410 + 20 = 666.

It is a super-2 number, since 2×211142041020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211142040984 and 211142041002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1429635 + ... + 1570394.

It is an arithmetic number, because the mean of its divisors is an integer number (4914049140).

Almost surely, 2^211142041020 is an apocalyptic number.

211142041020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211142041020 is an abundant number, since it is smaller than the sum of its proper divisors (496481035140).

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

211142041020 is a wasteful number, since it uses less digits than its factorization.

211142041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000084 (or 3000079 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211142041020 its reverse (20140241112), we get a palindrome (231282282132).

The spelling of 211142041020 in words is "two hundred eleven billion, one hundred forty-two million, forty-one thousand, twenty".