13040433413040 has 160 divisors (see below), whose sum is σ = 44721507497472. Its totient is φ = 3116791552000.

The previous prime is 13040433412997. The next prime is 13040433413047. The reversal of 13040433413040 is 4031433404031.

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 = 13040433412989 and 13040433413007.

It is not an unprimeable number, because it can be changed into a prime (13040433413047) 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, 34598181 + ... + 34973060.

Almost surely, 2^{13040433413040} is an apocalyptic number.

13040433413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13040433413040 is an abundant number, since it is smaller than the sum of its proper divisors (31681074084432).

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

13040433413040 is a wasteful number, since it uses less digits than its factorization.

13040433413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69571339 (or 69571333 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13040433413040 its reverse (4031433404031), we get a palindrome (17071866817071).

Subtracting from 13040433413040 its reverse (4031433404031), we obtain a palindrome (9009000009009).

The spelling of 13040433413040 in words is "thirteen trillion, forty billion, four hundred thirty-three million, four hundred thirteen thousand, forty".