214040412 has 108 divisors (see below), whose sum is σ = 574630056. Its totient is φ = 67132800.

The previous prime is 214040389. The next prime is 214040413.

214040412 is a `hidden beast` number, since 214 + 0 + 40 + 412 = 666.

214040412 is nontrivially palindromic in base 10.

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 (214040413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2119162 + ... + 2119262.

Almost surely, 2^214040412 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 214040412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287315028).

214040412 is an abundant number, since it is smaller than the sum of its proper divisors (360589644).

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

214040412 is a wasteful number, since it uses less digits than its factorization.

214040412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 214040412 is about 14630.1200268487. The cubic root of 214040412 is about 598.1800518964.

The spelling of 214040412 in words is "two hundred fourteen million, forty thousand, four hundred twelve".