414234363432414 has 128 divisors (see below), whose sum is σ = 1007418469662720. Its totient is φ = 110914573968000.

The previous prime is 414234363432377. The next prime is 414234363432467.

414234363432414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88223259 + ... + 92799849.

It is an arithmetic number, because the mean of its divisors is an integer number (7870456794240).

Almost surely, 2^{414234363432414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414234363432414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503709234831360).

414234363432414 is an abundant number, since it is smaller than the sum of its proper divisors (593184106230306).

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

414234363432414 is a wasteful number, since it uses less digits than its factorization.

414234363432414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577846.

The product of its digits is 7962624, while the sum is 48.

The spelling of 414234363432414 in words is "four hundred fourteen trillion, two hundred thirty-four billion, three hundred sixty-three million, four hundred thirty-two thousand, four hundred fourteen".