13332401331440 has 40 divisors (see below), whose sum is σ = 31835612375520. Its totient is φ = 5188826462976.

The previous prime is 13332401331407. The next prime is 13332401331449. The reversal of 13332401331440 is 4413310423331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13332401331397 and 13332401331406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332401331449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2252091860 + ... + 2252097779.

It is an arithmetic number, because the mean of its divisors is an integer number (795890309388).

Almost surely, 2^{13332401331440} is an apocalyptic number.

13332401331440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13332401331440 is an abundant number, since it is smaller than the sum of its proper divisors (18503211044080).

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

13332401331440 is a wasteful number, since it uses less digits than its factorization.

13332401331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504189689 (or 4504189683 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 13332401331440 its reverse (4413310423331), we get a palindrome (17745711754771).

The spelling of 13332401331440 in words is "thirteen trillion, three hundred thirty-two billion, four hundred one million, three hundred thirty-one thousand, four hundred forty".