214041312 has 96 divisors (see below), whose sum is σ = 651490560. Its totient is φ = 68238720.

The previous prime is 214041307. The next prime is 214041319. The reversal of 214041312 is 213140412.

214041312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214041319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14487 + ... + 25257.

It is an arithmetic number, because the mean of its divisors is an integer number (6786360).

Almost surely, 2^214041312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325745280).

214041312 is an abundant number, since it is smaller than the sum of its proper divisors (437449248).

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

214041312 is a wasteful number, since it uses less digits than its factorization.

214041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10813 (or 10799 counting only the distinct ones).

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

The square root of 214041312 is about 14630.1507852790. The cubic root of 214041312 is about 598.1808903070.

Adding to 214041312 its reverse (213140412), we get a palindrome (427181724).

The spelling of 214041312 in words is "two hundred fourteen million, forty-one thousand, three hundred twelve".