13331466540 has 576 divisors, whose sum is σ = 50837068800. Its totient is φ = 2839947264.

The previous prime is 13331466529. The next prime is 13331466569. The reversal of 13331466540 is 4566413331.

13331466540 is a `hidden beast` number, since 13 + 33 + 14 + 66 + 540 = 666.

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 = 13331466495 and 13331466504.

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, 117977524 + ... + 117977636.

It is an arithmetic number, because the mean of its divisors is an integer number (88258800).

Almost surely, 2^13331466540 is an apocalyptic number.

13331466540 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 13331466540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25418534400).

13331466540 is an abundant number, since it is smaller than the sum of its proper divisors (37505602260).

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

13331466540 is a wasteful number, since it uses less digits than its factorization.

13331466540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 13331466540 its reverse (4566413331), we get a palindrome (17897879871).

The spelling of 13331466540 in words is "thirteen billion, three hundred thirty-one million, four hundred sixty-six thousand, five hundred forty".