414002211414 has 32 divisors (see below), whose sum is σ = 907056990720. Its totient is φ = 124930293600.

The previous prime is 414002211391. The next prime is 414002211421. The reversal of 414002211414 is 414112200414.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13107157 + ... + 13138704.

It is an arithmetic number, because the mean of its divisors is an integer number (28345530960).

Almost surely, 2^414002211414 is an apocalyptic number.

414002211414 is an abundant number, since it is smaller than the sum of its proper divisors (493054779306).

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

414002211414 is a wasteful number, since it uses less digits than its factorization.

414002211414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26246116.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 414002211414 its reverse (414112200414), we get a palindrome (828114411828).

The spelling of 414002211414 in words is "four hundred fourteen billion, two million, two hundred eleven thousand, four hundred fourteen".