13431414500040 has 128 divisors (see below), whose sum is σ = 42138175829760. Its totient is φ = 3418486984704.

The previous prime is 13431414500033. The next prime is 13431414500087. The reversal of 13431414500040 is 4000541413431.

13431414500040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13431414499980 and 13431414500007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4063029 + ... + 6585668.

It is an arithmetic number, because the mean of its divisors is an integer number (329204498670).

Almost surely, 2^{13431414500040} is an apocalyptic number.

13431414500040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13431414500040 is an abundant number, since it is smaller than the sum of its proper divisors (28706761329720).

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

13431414500040 is a wasteful number, since it uses less digits than its factorization.

13431414500040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10649191 (or 10649187 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13431414500040 its reverse (4000541413431), we get a palindrome (17431955913471).

The spelling of 13431414500040 in words is "thirteen trillion, four hundred thirty-one billion, four hundred fourteen million, five hundred thousand, forty".