2013043200040 has 48 divisors (see below), whose sum is σ = 4690917333180. Its totient is φ = 777451153920.

The previous prime is 2013043199941. The next prime is 2013043200041. The reversal of 2013043200040 is 400023403102.

It can be written as a sum of positive squares in 6 ways, for example, as 1369784662884 + 643258537156 = 1170378^2 + 802034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2013043199990 and 2013043200017.

It is not an unprimeable number, because it can be changed into a prime (2013043200041) 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, 29886741 + ... + 29954020.

Almost surely, 2^{2013043200040} is an apocalyptic number.

2013043200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013043200040 is an abundant number, since it is smaller than the sum of its proper divisors (2677874133140).

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

2013043200040 is a wasteful number, since it uses less digits than its factorization.

2013043200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59840830 (or 59840797 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 2013043200040 its reverse (400023403102), we get a palindrome (2413066603142).

The spelling of 2013043200040 in words is "two trillion, thirteen billion, forty-three million, two hundred thousand, forty".