414396693414 has 128 divisors (see below), whose sum is σ = 1011186408960. Its totient is φ = 124752700800.

The previous prime is 414396693383. The next prime is 414396693419.

414396693414 is a `hidden beast` number, since 41 + 43 + 9 + 66 + 93 + 414 = 666.

414396693414 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414396693419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185245504 + ... + 185247740.

It is an arithmetic number, because the mean of its divisors is an integer number (7899893820).

Almost surely, 2^414396693414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414396693414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505593204480).

414396693414 is an abundant number, since it is smaller than the sum of its proper divisors (596789715546).

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

414396693414 is a wasteful number, since it uses less digits than its factorization.

414396693414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4157 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 414396693414 in words is "four hundred fourteen billion, three hundred ninety-six million, six hundred ninety-three thousand, four hundred fourteen".