13240400004 has 72 divisors (see below), whose sum is σ = 36723442392. Its totient is φ = 3997094400.

The previous prime is 13240399999. The next prime is 13240400009. The reversal of 13240400004 is 40000404231.

It is an interprime number because it is at equal distance from previous prime (13240399999) and next prime (13240400009).

It can be written as a sum of positive squares in 4 ways, for example, as 96236100 + 13144163904 = 9810^2 + 114648^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 13240400004.

It is not an unprimeable number, because it can be changed into a prime (13240400009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242097 + ... + 291704.

It is an arithmetic number, because the mean of its divisors is an integer number (510047811).

Almost surely, 2^13240400004 is an apocalyptic number.

It is an amenable number.

13240400004 is an abundant number, since it is smaller than the sum of its proper divisors (23483042388).

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

13240400004 is a wasteful number, since it uses less digits than its factorization.

13240400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533877 (or 533872 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13240400004 its reverse (40000404231), we get a palindrome (53240804235).

The spelling of 13240400004 in words is "thirteen billion, two hundred forty million, four hundred thousand, four".