13330404024432 has 160 divisors (see below), whose sum is σ = 38428446326784. Its totient is φ = 3947891270400.

The previous prime is 13330404024419. The next prime is 13330404024463. The reversal of 13330404024432 is 23442040403331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13330404024393 and 13330404024402.

It is a congruent number.

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, 3009207 + ... + 5976297.

Almost surely, 2^{13330404024432} is an apocalyptic number.

13330404024432 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 13330404024432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19214223163392).

13330404024432 is an abundant number, since it is smaller than the sum of its proper divisors (25098042302352).

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

13330404024432 is a wasteful number, since it uses less digits than its factorization.

13330404024432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967307 (or 2967301 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 13330404024432 its reverse (23442040403331), we get a palindrome (36772444427763).

The spelling of 13330404024432 in words is "thirteen trillion, three hundred thirty billion, four hundred four million, twenty-four thousand, four hundred thirty-two".