2013414014004 has 24 divisors (see below), whose sum is σ = 4711427263200. Its totient is φ = 669214971744.

The previous prime is 2013414013999. The next prime is 2013414014047. The reversal of 2013414014004 is 4004104143102.

It is a super-2 number, since 2×2013414014004² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240374754 + ... + 240383129.

It is an arithmetic number, because the mean of its divisors is an integer number (196309469300).

Almost surely, 2^{2013414014004} is an apocalyptic number.

It is an amenable number.

2013414014004 is an abundant number, since it is smaller than the sum of its proper divisors (2698013249196).

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

2013414014004 is a wasteful number, since it uses less digits than its factorization.

2013414014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480758239 (or 480758237 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2013414014004 its reverse (4004104143102), we get a palindrome (6017518157106).

The spelling of 2013414014004 in words is "two trillion, thirteen billion, four hundred fourteen million, fourteen thousand, four".