414013344042200 has 96 divisors (see below), whose sum is σ = 1100740863477600. Its totient is φ = 141863785328640.

The previous prime is 414013344042131. The next prime is 414013344042241. The reversal of 414013344042200 is 2240443310414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84755555 + ... + 89507154.

It is an arithmetic number, because the mean of its divisors is an integer number (11466050661225).

Almost surely, 2^{414013344042200} is an apocalyptic number.

414013344042200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414013344042200 is an abundant number, since it is smaller than the sum of its proper divisors (686727519435400).

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

414013344042200 is a wasteful number, since it uses less digits than its factorization.

414013344042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174264429 (or 174264420 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 414013344042200 its reverse (2240443310414), we get a palindrome (416253787352614).

The spelling of 414013344042200 in words is "four hundred fourteen trillion, thirteen billion, three hundred forty-four million, forty-two thousand, two hundred".