413144041102200 has 72 divisors (see below), whose sum is σ = 1387475404707600. Its totient is φ = 110171744293440.

The previous prime is 413144041102189. The next prime is 413144041102237. The reversal of 413144041102200 is 2201140441314.

413144041102200 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 4 + 40 + 411 + 0 + 2 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114762231840 + ... + 114762235439.

It is an arithmetic number, because the mean of its divisors is an integer number (19270491732050).

Almost surely, 2^{413144041102200} is an apocalyptic number.

413144041102200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413144041102200 is an abundant number, since it is smaller than the sum of its proper divisors (974331363605400).

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

413144041102200 is a wasteful number, since it uses less digits than its factorization.

413144041102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229524467301 (or 229524467289 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 413144041102200 its reverse (2201140441314), we get a palindrome (415345181543514).

The spelling of 413144041102200 in words is "four hundred thirteen trillion, one hundred forty-four billion, forty-one million, one hundred two thousand, two hundred".