414211202112414 has 64 divisors (see below), whose sum is σ = 1012386078323712. Its totient is φ = 110281707840000.

The previous prime is 414211202112373. The next prime is 414211202112427.

It is a happy number.

414211202112414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×414211202112414² (a number of 30 digits) contains 22 as substring.

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, 2871847362 + ... + 2871991589.

It is an arithmetic number, because the mean of its divisors is an integer number (15818532473808).

Almost surely, 2^{414211202112414} is an apocalyptic number.

414211202112414 is an abundant number, since it is smaller than the sum of its proper divisors (598174876211298).

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

414211202112414 is a wasteful number, since it uses less digits than its factorization.

414211202112414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743839081.

The product of its (nonzero) digits is 4096, while the sum is 30.

It can be divided in two parts, 41421120 and 2112414, that added together give a palindrome (43533534).

The spelling of 414211202112414 in words is "four hundred fourteen trillion, two hundred eleven billion, two hundred two million, one hundred twelve thousand, four hundred fourteen".