414114000411414 has 16 divisors (see below), whose sum is σ = 828855921991680. Its totient is φ = 137933346609000.

The previous prime is 414114000411403. The next prime is 414114000411443.

414114000411414 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×414114000411414³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26163373462 + ... + 26163389289.

It is an arithmetic number, because the mean of its divisors is an integer number (51803495124480).

Almost surely, 2^{414114000411414} is an apocalyptic number.

414114000411414 is an abundant number, since it is smaller than the sum of its proper divisors (414741921580266).

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

414114000411414 is a wasteful number, since it uses less digits than its factorization.

414114000411414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52326764075.

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

It can be divided in two parts, 414114000 and 411414, that added together give a palindrome (414525414).

The spelling of 414114000411414 in words is "four hundred fourteen trillion, one hundred fourteen billion, four hundred eleven thousand, four hundred fourteen".