211142024340 has 288 divisors, whose sum is σ = 671492142720. Its totient is φ = 49219602432.

The previous prime is 211142024297. The next prime is 211142024371. The reversal of 211142024340 is 43420241112.

It is a self number, because there is not a number n which added to its sum of digits gives 211142024340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63537919 + ... + 63541241.

It is an arithmetic number, because the mean of its divisors is an integer number (2331569940).

Almost surely, 2^211142024340 is an apocalyptic number.

211142024340 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 211142024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335746071360).

211142024340 is an abundant number, since it is smaller than the sum of its proper divisors (460350118380).

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

211142024340 is a wasteful number, since it uses less digits than its factorization.

211142024340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211142024340 its reverse (43420241112), we get a palindrome (254562265452).

The spelling of 211142024340 in words is "two hundred eleven billion, one hundred forty-two million, twenty-four thousand, three hundred forty".