16414306640 has 40 divisors (see below), whose sum is σ = 38246856360. Its totient is φ = 6551341056.

The previous prime is 16414306639. The next prime is 16414306669. The reversal of 16414306640 is 4660341461.

It is a happy number.

16414306640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3428336704 + 12985969936 = 58552^2 + 113956^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 16414306640.

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, 187925 + ... + 261044.

It is an arithmetic number, because the mean of its divisors is an integer number (956171409).

Almost surely, 2^16414306640 is an apocalyptic number.

16414306640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16414306640 is an abundant number, since it is smaller than the sum of its proper divisors (21832549720).

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

16414306640 is a wasteful number, since it uses less digits than its factorization.

16414306640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449439 (or 449433 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 16414306640 in words is "sixteen billion, four hundred fourteen million, three hundred six thousand, six hundred forty".