213211340440 has 128 divisors (see below), whose sum is σ = 582890204160. Its totient is φ = 68603318784.

The previous prime is 213211340437. The next prime is 213211340483. The reversal of 213211340440 is 44043112312.

213211340440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 28987 + ... + 653653.

It is an arithmetic number, because the mean of its divisors is an integer number (4553829720).

Almost surely, 2^213211340440 is an apocalyptic number.

213211340440 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 213211340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291445102080).

213211340440 is an abundant number, since it is smaller than the sum of its proper divisors (369678863720).

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

213211340440 is a wasteful number, since it uses less digits than its factorization.

213211340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624761 (or 624757 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 213211340440 its reverse (44043112312), we get a palindrome (257254452752).

The spelling of 213211340440 in words is "two hundred thirteen billion, two hundred eleven million, three hundred forty thousand, four hundred forty".