13433336132040 has 768 divisors, whose sum is σ = 50863815475200. Its totient is φ = 3040540416000.

The previous prime is 13433336132039. The next prime is 13433336132081. The reversal of 13433336132040 is 4023163333431.

13433336132040 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 3 + 33 + 613 + 2 + 0 + 4 + 0 = 666.

13433336132040 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-3 number, since 3×13433336132040³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13433336131986 and 13433336132004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1694626557 + ... + 1694634483.

It is an arithmetic number, because the mean of its divisors is an integer number (66228926400).

Almost surely, 2^{13433336132040} is an apocalyptic number.

13433336132040 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 13433336132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25431907737600).

13433336132040 is an abundant number, since it is smaller than the sum of its proper divisors (37430479343160).

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

13433336132040 is a wasteful number, since it uses less digits than its factorization.

13433336132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 13433336132040 its reverse (4023163333431), we get a palindrome (17456499465471).

The spelling of 13433336132040 in words is "thirteen trillion, four hundred thirty-three billion, three hundred thirty-six million, one hundred thirty-two thousand, forty".