1330417106928 has 320 divisors, whose sum is σ = 4731613824000. Its totient is φ = 348522808320.

The previous prime is 1330417106849. The next prime is 1330417106933. The reversal of 1330417106928 is 8296017140331.

1330417106928 is a `hidden beast` number, since 13 + 30 + 417 + 106 + 92 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5743923 + ... + 5971053.

It is an arithmetic number, because the mean of its divisors is an integer number (14786293200).

Almost surely, 2^{1330417106928} is an apocalyptic number.

1330417106928 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 1330417106928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365806912000).

1330417106928 is an abundant number, since it is smaller than the sum of its proper divisors (3401196717072).

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

1330417106928 is a wasteful number, since it uses less digits than its factorization.

1330417106928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227317 (or 227305 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1330417106928 in words is "one trillion, three hundred thirty billion, four hundred seventeen million, one hundred six thousand, nine hundred twenty-eight".