16040728000 has 336 divisors, whose sum is σ = 44457652512. Its totient is φ = 5727744000.

The previous prime is 16040727991. The next prime is 16040728021. The reversal of 16040728000 is 82704061.

It is a self number, because there is not a number n which added to its sum of digits gives 16040728000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70663887 + ... + 70664113.

It is an arithmetic number, because the mean of its divisors is an integer number (132314442).

Almost surely, 2^16040728000 is an apocalyptic number.

16040728000 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 16040728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22228826256).

16040728000 is an abundant number, since it is smaller than the sum of its proper divisors (28416924512).

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

16040728000 is a wasteful number, since it uses less digits than its factorization.

16040728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 16040728000 in words is "sixteen billion, forty million, seven hundred twenty-eight thousand".