13144314040 has 64 divisors (see below), whose sum is σ = 34745124960. Its totient is φ = 4412075520.

The previous prime is 13144313957. The next prime is 13144314041. The reversal of 13144314040 is 4041344131.

13144314040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13144314040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13144313996 and 13144314014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144314041) 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 15 ways as a sum of consecutive naturals, for example, 1143259 + ... + 1154698.

Almost surely, 2^13144314040 is an apocalyptic number.

13144314040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144314040 is an abundant number, since it is smaller than the sum of its proper divisors (21600810920).

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

13144314040 is a wasteful number, since it uses less digits than its factorization.

13144314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297992 (or 2297988 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13144314040 its reverse (4041344131), we get a palindrome (17185658171).

It can be divided in two parts, 13144 and 314040, that added together give a square (327184 = 572²).

The spelling of 13144314040 in words is "thirteen billion, one hundred forty-four million, three hundred fourteen thousand, forty".