214332000414 has 64 divisors (see below), whose sum is σ = 500713920000. Its totient is φ = 59900803200.

The previous prime is 214332000409. The next prime is 214332000433. The reversal of 214332000414 is 414000233412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47712 + ... + 656460.

It is an arithmetic number, because the mean of its divisors is an integer number (7823655000).

Almost surely, 2^214332000414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214332000414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250356960000).

214332000414 is an abundant number, since it is smaller than the sum of its proper divisors (286381919586).

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

214332000414 is a wasteful number, since it uses less digits than its factorization.

214332000414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608945.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214332000414 its reverse (414000233412), we get a palindrome (628332233826).

The spelling of 214332000414 in words is "two hundred fourteen billion, three hundred thirty-two million, four hundred fourteen", and thus it is an aban number.