414334131440344 has 16 divisors (see below), whose sum is σ = 810653735427120. Its totient is φ = 198159801993120.

The previous prime is 414334131440311. The next prime is 414334131440431. The reversal of 414334131440344 is 443044131433414.

It is a self number, because there is not a number n which added to its sum of digits gives 414334131440344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1125907965687 + ... + 1125907966054.

It is an arithmetic number, because the mean of its divisors is an integer number (50665858464195).

Almost surely, 2^{414334131440344} is an apocalyptic number.

It is an amenable number.

414334131440344 is a deficient number, since it is larger than the sum of its proper divisors (396319603986776).

414334131440344 is a wasteful number, since it uses less digits than its factorization.

414334131440344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251815931770 (or 2251815931766 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 43.

Adding to 414334131440344 its reverse (443044131433414), we get a palindrome (857378262873758).

The spelling of 414334131440344 in words is "four hundred fourteen trillion, three hundred thirty-four billion, one hundred thirty-one million, four hundred forty thousand, three hundred forty-four".