211013440 has 112 divisors (see below), whose sum is σ = 553175424. Its totient is φ = 76032000.

The previous prime is 211013423. The next prime is 211013459. The reversal of 211013440 is 44310112.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 531322 + ... + 531718.

Almost surely, 2^211013440 is an apocalyptic number.

211013440 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 211013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276587712).

211013440 is an abundant number, since it is smaller than the sum of its proper divisors (342161984).

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

211013440 is a wasteful number, since it uses less digits than its factorization.

211013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 211013440 is about 14526.3016628459. The cubic root of 211013440 is about 595.3468213163.

Adding to 211013440 its reverse (44310112), we get a palindrome (255323552).

The spelling of 211013440 in words is "two hundred eleven million, thirteen thousand, four hundred forty".