2013414023424 has 72 divisors (see below), whose sum is σ = 5378538594240. Its totient is φ = 668643002368.

The previous prime is 2013414023407. The next prime is 2013414023429. The reversal of 2013414023424 is 4243204143102.

It is a junction number, because it is equal to n+sod(n) for n = 2013414023391 and 2013414023400.

It is not an unprimeable number, because it can be changed into a prime (2013414023429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4666332 + ... + 5079515.

It is an arithmetic number, because the mean of its divisors is an integer number (74701924920).

Almost surely, 2^{2013414023424} is an apocalyptic number.

2013414023424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2013414023424 is an abundant number, since it is smaller than the sum of its proper divisors (3365124570816).

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

2013414023424 is an equidigital number, since it uses as much as digits as its factorization.

2013414023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9746135 (or 9746121 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2013414023424 its reverse (4243204143102), we get a palindrome (6256618166526).

The spelling of 2013414023424 in words is "two trillion, thirteen billion, four hundred fourteen million, twenty-three thousand, four hundred twenty-four".