13433142432 has 96 divisors (see below), whose sum is σ = 36757385280. Its totient is φ = 4290191360.

The previous prime is 13433142407. The next prime is 13433142449. The reversal of 13433142432 is 23424133431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13433142432.

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, 346288 + ... + 383120.

It is an arithmetic number, because the mean of its divisors is an integer number (382889430).

Almost surely, 2^13433142432 is an apocalyptic number.

13433142432 is a gapful number since it is divisible by the number (12) 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 13433142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378692640).

13433142432 is an abundant number, since it is smaller than the sum of its proper divisors (23324242848).

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

13433142432 is a wasteful number, since it uses less digits than its factorization.

13433142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37006 (or 36998 counting only the distinct ones).

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

Adding to 13433142432 its reverse (23424133431), we get a palindrome (36857275863).

Subtracting 13433142432 from its reverse (23424133431), we obtain a palindrome (9990990999).

The spelling of 13433142432 in words is "thirteen billion, four hundred thirty-three million, one hundred forty-two thousand, four hundred thirty-two".