16028200440 has 384 divisors, whose sum is σ = 65779983360. Its totient is φ = 3297964032.

The previous prime is 16028200429. The next prime is 16028200469. The reversal of 16028200440 is 4400282061.

16028200440 is a `hidden beast` number, since 16 + 0 + 2 + 8 + 200 + 440 = 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 95 ways as a sum of consecutive naturals, for example, 977187 + ... + 993453.

It is an arithmetic number, because the mean of its divisors is an integer number (171302040).

Almost surely, 2^16028200440 is an apocalyptic number.

16028200440 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 16028200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32889991680).

16028200440 is an abundant number, since it is smaller than the sum of its proper divisors (49751782920).

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

16028200440 is a wasteful number, since it uses less digits than its factorization.

16028200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16331 (or 16324 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 16028200440 in words is "sixteen billion, twenty-eight million, two hundred thousand, four hundred forty".