16680830440 has 64 divisors (see below), whose sum is σ = 39769574400. Its totient is φ = 6275109888.

The previous prime is 16680830407. The next prime is 16680830459. The reversal of 16680830440 is 4403808661.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 16680830393 and 16680830402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969997 + ... + 987043.

It is an arithmetic number, because the mean of its divisors is an integer number (621399600).

Almost surely, 2^16680830440 is an apocalyptic number.

16680830440 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 16680830440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19884787200).

16680830440 is an abundant number, since it is smaller than the sum of its proper divisors (23088743960).

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

16680830440 is a wasteful number, since it uses less digits than its factorization.

16680830440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18514 (or 18510 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 16680830440 in words is "sixteen billion, six hundred eighty million, eight hundred thirty thousand, four hundred forty".