211214440 has 16 divisors (see below), whose sum is σ = 475232580. Its totient is φ = 84485760.

The previous prime is 211214401. The next prime is 211214461. The reversal of 211214440 is 44412112.

211214440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 211004676 + 209764 = 14526^2 + 458^2 .

It is a super-3 number, since 3×211214440³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2640141 + ... + 2640220.

Almost surely, 2^211214440 is an apocalyptic number.

211214440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211214440 is an abundant number, since it is smaller than the sum of its proper divisors (264018140).

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

211214440 is a wasteful number, since it uses less digits than its factorization.

211214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280372 (or 5280368 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 211214440 is about 14533.2185010754. The cubic root of 211214440 is about 595.5357930643.

Adding to 211214440 its reverse (44412112), we get a palindrome (255626552).

It can be divided in two parts, 21 and 1214440, that added together give a triangular number (1214461 = T₁₅₅₈).

The spelling of 211214440 in words is "two hundred eleven million, two hundred fourteen thousand, four hundred forty".