13331485440 has 1008 divisors, whose sum is σ = 59301738048. Its totient is φ = 2794881024.

The previous prime is 13331485439. The next prime is 13331485457. The reversal of 13331485440 is 4458413331.

13331485440 is a `hidden beast` number, since 133 + 3 + 1 + 4 + 85 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 13331485395 and 13331485404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 84913842 + ... + 84913998.

Almost surely, 2^13331485440 is an apocalyptic number.

13331485440 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 13331485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29650869024).

13331485440 is an abundant number, since it is smaller than the sum of its proper divisors (45970252608).

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

13331485440 is an equidigital number, since it uses as much as digits as its factorization.

13331485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 13331485440 its reverse (4458413331), we get a palindrome (17789898771).

The spelling of 13331485440 in words is "thirteen billion, three hundred thirty-one million, four hundred eighty-five thousand, four hundred forty".