13140400004 has 12 divisors (see below), whose sum is σ = 23031579228. Its totient is φ = 6559948800.

The previous prime is 13140400003. The next prime is 13140400037. The reversal of 13140400004 is 40000404131.

13140400004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8751602500 + 4388797504 = 93550^2 + 66248^2 .

It is a super-2 number, since 2×13140400004² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13140400003) 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 3 ways as a sum of consecutive naturals, for example, 2559917 + ... + 2565044.

It is an arithmetic number, because the mean of its divisors is an integer number (1919298269).

Almost surely, 2^13140400004 is an apocalyptic number.

It is an amenable number.

13140400004 is a deficient number, since it is larger than the sum of its proper divisors (9891179224).

13140400004 is a wasteful number, since it uses less digits than its factorization.

13140400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125606 (or 5125604 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 13140400004 its reverse (40000404131), we get a palindrome (53140804135).

The spelling of 13140400004 in words is "thirteen billion, one hundred forty million, four hundred thousand, four".