414660000066414 has 256 divisors, whose sum is σ = 898130128896000. Its totient is φ = 127412794381824.

The previous prime is 414660000066341. The next prime is 414660000066437.

414660000066414 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×414660000066414³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39874982787 + ... + 39874993185.

It is an arithmetic number, because the mean of its divisors is an integer number (3508320816000).

Almost surely, 2^{414660000066414} is an apocalyptic number.

414660000066414 is an abundant number, since it is smaller than the sum of its proper divisors (483470128829586).

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

414660000066414 is a wasteful number, since it uses less digits than its factorization.

414660000066414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11479.

The product of its (nonzero) digits is 331776, while the sum is 42.

It can be divided in two parts, 4146600000 and 66414, that added together give a palindrome (4146666414).

The spelling of 414660000066414 in words is "four hundred fourteen trillion, six hundred sixty billion, sixty-six thousand, four hundred fourteen".