219905045440 has 224 divisors, whose sum is σ = 563270400000. Its totient is φ = 81523003392.

The previous prime is 219905045401. The next prime is 219905045443. The reversal of 219905045440 is 44540509912.

219905045440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219905045443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79993186 + ... + 79995934.

It is an arithmetic number, because the mean of its divisors is an integer number (2514600000).

Almost surely, 2^219905045440 is an apocalyptic number.

219905045440 is a gapful number since it is divisible by the number (20) 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 219905045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281635200000).

219905045440 is an abundant number, since it is smaller than the sum of its proper divisors (343365354560).

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

219905045440 is a wasteful number, since it uses less digits than its factorization.

219905045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 219905045440 in words is "two hundred nineteen billion, nine hundred five million, forty-five thousand, four hundred forty".