34404314112414 has 96 divisors (see below), whose sum is σ = 78249972161088. Its totient is φ = 10903787136000.

The previous prime is 34404314112383. The next prime is 34404314112499. The reversal of 34404314112414 is 41421141340443.

34404314112414 is a `hidden beast` number, since 3 + 4 + 404 + 3 + 1 + 4 + 1 + 1 + 241 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161826144 + ... + 162038604.

It is an arithmetic number, because the mean of its divisors is an integer number (815103876678).

Almost surely, 2^{34404314112414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34404314112414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39124986080544).

34404314112414 is an abundant number, since it is smaller than the sum of its proper divisors (43845658048674).

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

34404314112414 is a wasteful number, since it uses less digits than its factorization.

34404314112414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214834 (or 214831 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 34404314112414 its reverse (41421141340443), we get a palindrome (75825455452857).

The spelling of 34404314112414 in words is "thirty-four trillion, four hundred four billion, three hundred fourteen million, one hundred twelve thousand, four hundred fourteen".