211410140240 has 160 divisors (see below), whose sum is σ = 533204622720. Its totient is φ = 77490911232.

The previous prime is 211410140231. The next prime is 211410140269. The reversal of 211410140240 is 42041014112.

211410140240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126819887 + ... + 126821553.

It is an arithmetic number, because the mean of its divisors is an integer number (3332528892).

Almost surely, 2^211410140240 is an apocalyptic number.

211410140240 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 211410140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266602311360).

211410140240 is an abundant number, since it is smaller than the sum of its proper divisors (321794482480).

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

211410140240 is a wasteful number, since it uses less digits than its factorization.

211410140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211410140240 its reverse (42041014112), we get a palindrome (253451154352).

The spelling of 211410140240 in words is "two hundred eleven billion, four hundred ten million, one hundred forty thousand, two hundred forty".