13329378280440 has 768 divisors, whose sum is σ = 47255615447040. Its totient is φ = 3246077952000.

The previous prime is 13329378280433. The next prime is 13329378280459. The reversal of 13329378280440 is 4408287392331.

It is a happy number.

13329378280440 is a `hidden beast` number, since 1 + 3 + 3 + 293 + 78 + 280 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×13329378280440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 9340839007 + ... + 9340840433.

It is an arithmetic number, because the mean of its divisors is an integer number (61530749280).

Almost surely, 2^{13329378280440} is an apocalyptic number.

13329378280440 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 13329378280440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23627807723520).

13329378280440 is an abundant number, since it is smaller than the sum of its proper divisors (33926237166600).

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

13329378280440 is a wasteful number, since it uses less digits than its factorization.

13329378280440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 13329378280440 in words is "thirteen trillion, three hundred twenty-nine billion, three hundred seventy-eight million, two hundred eighty thousand, four hundred forty".