13434031040 has 224 divisors, whose sum is σ = 35925825024. Its totient is φ = 4759879680.

The previous prime is 13434031001. The next prime is 13434031049. The reversal of 13434031040 is 4013043431.

It is a junction number, because it is equal to n+sod(n) for n = 13434030997 and 13434031015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434031049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6238604 + ... + 6240756.

Almost surely, 2^13434031040 is an apocalyptic number.

13434031040 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 13434031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962912512).

13434031040 is an abundant number, since it is smaller than the sum of its proper divisors (22491793984).

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

13434031040 is a wasteful number, since it uses less digits than its factorization.

13434031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2245 counting only the distinct ones).

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

Adding to 13434031040 its reverse (4013043431), we get a palindrome (17447074471).

The spelling of 13434031040 in words is "thirteen billion, four hundred thirty-four million, thirty-one thousand, forty".