213211440 has 200 divisors, whose sum is σ = 797792688. Its totient is φ = 52462080.

The previous prime is 213211423. The next prime is 213211457. The reversal of 213211440 is 44112312.

213211440 is a `hidden beast` number, since 2 + 13 + 211 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (213211423) and next prime (213211457).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82975 + ... + 85505.

Almost surely, 2^213211440 is an apocalyptic number.

213211440 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 213211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398896344).

213211440 is an abundant number, since it is smaller than the sum of its proper divisors (584581248).

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

213211440 is a wasteful number, since it uses less digits than its factorization.

213211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 213211440 is about 14601.7615375680. The cubic root of 213211440 is about 597.4068084088.

Adding to 213211440 its reverse (44112312), we get a palindrome (257323752).

The spelling of 213211440 in words is "two hundred thirteen million, two hundred eleven thousand, four hundred forty".