13330687040928 has 384 divisors, whose sum is σ = 42637316198400. Its totient is φ = 4039305532416.

The previous prime is 13330687040921. The next prime is 13330687040929. The reversal of 13330687040928 is 82904078603331.

13330687040928 is a `hidden beast` number, since 133 + 3 + 0 + 6 + 87 + 0 + 409 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13330687040921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31405533 + ... + 31827171.

It is an arithmetic number, because the mean of its divisors is an integer number (111034677600).

Almost surely, 2^{13330687040928} is an apocalyptic number.

13330687040928 is a gapful number since it is divisible by the number (18) 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 13330687040928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21318658099200).

13330687040928 is an abundant number, since it is smaller than the sum of its proper divisors (29306629157472).

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

13330687040928 is a wasteful number, since it uses less digits than its factorization.

13330687040928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421761 (or 421747 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13330687040928 in words is "thirteen trillion, three hundred thirty billion, six hundred eighty-seven million, forty thousand, nine hundred twenty-eight".