2013410414200 has 48 divisors (see below), whose sum is σ = 4681282722480. Its totient is φ = 805346357760.

The previous prime is 2013410414179. The next prime is 2013410414201. The reversal of 2013410414200 is 24140143102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013410414201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12545664 + ... + 12705136.

It is an arithmetic number, because the mean of its divisors is an integer number (97526723385).

Almost surely, 2^{2013410414200} is an apocalyptic number.

2013410414200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013410414200 is an abundant number, since it is smaller than the sum of its proper divisors (2667872308280).

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

2013410414200 is a wasteful number, since it uses less digits than its factorization.

2013410414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222616 (or 222607 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2013410414200 its reverse (24140143102), we get a palindrome (2037550557302).

The spelling of 2013410414200 in words is "two trillion, thirteen billion, four hundred ten million, four hundred fourteen thousand, two hundred".