13403431040 has 128 divisors (see below), whose sum is σ = 34128339120. Its totient is φ = 5016125440.

The previous prime is 13403431021. The next prime is 13403431051. The reversal of 13403431040 is 4013430431.

It can be written as a sum of positive squares in 8 ways, for example, as 6696476224 + 6706954816 = 81832^2 + 81896^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 13403430997 and 13403431015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878680 + ... + 1885800.

Almost surely, 2^13403431040 is an apocalyptic number.

13403431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13403431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064169560).

13403431040 is an abundant number, since it is smaller than the sum of its proper divisors (20724908080).

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

13403431040 is a wasteful number, since it uses less digits than its factorization.

13403431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7330 (or 7318 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13403431040 its reverse (4013430431), we get a palindrome (17416861471).

The spelling of 13403431040 in words is "thirteen billion, four hundred three million, four hundred thirty-one thousand, forty".