414013324002344 has 16 divisors (see below), whose sum is σ = 846845435459520. Its totient is φ = 188187874546480.

The previous prime is 414013324002319. The next prime is 414013324002347. The reversal of 414013324002344 is 443200423310414.

It is not an unprimeable number, because it can be changed into a prime (414013324002347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2352348431744 + ... + 2352348431919.

It is an arithmetic number, because the mean of its divisors is an integer number (52927839716220).

Almost surely, 2^{414013324002344} is an apocalyptic number.

414013324002344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414013324002344 is an abundant number, since it is smaller than the sum of its proper divisors (432832111457176).

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

414013324002344 is a wasteful number, since it uses less digits than its factorization.

414013324002344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704696863680 (or 4704696863676 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 414013324002344 its reverse (443200423310414), we get a palindrome (857213747312758).

The spelling of 414013324002344 in words is "four hundred fourteen trillion, thirteen billion, three hundred twenty-four million, two thousand, three hundred forty-four".