16446445040 has 40 divisors (see below), whose sum is σ = 38243534400. Its totient is φ = 6577623296.

The previous prime is 16446445003. The next prime is 16446445063. The reversal of 16446445040 is 4054464461.

16446445040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 16446444985 and 16446445003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 854402 + ... + 873438.

It is an arithmetic number, because the mean of its divisors is an integer number (956088360).

Almost surely, 2^16446445040 is an apocalyptic number.

16446445040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16446445040 is an abundant number, since it is smaller than the sum of its proper divisors (21797089360).

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

16446445040 is a wasteful number, since it uses less digits than its factorization.

16446445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29849 (or 29843 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 16446445040 in words is "sixteen billion, four hundred forty-six million, four hundred forty-five thousand, forty".