217120440000 has 560 divisors, whose sum is σ = 747790630400. Its totient is φ = 55531008000.

The previous prime is 217120439959. The next prime is 217120440007. The reversal of 217120440000 is 44021712.

It is a happy number.

217120440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (217120440007) 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 79 ways as a sum of consecutive naturals, for example, 350759691 + ... + 350760309.

Almost surely, 2^217120440000 is an apocalyptic number.

217120440000 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 217120440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373895315200).

217120440000 is an abundant number, since it is smaller than the sum of its proper divisors (530670190400).

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

217120440000 is an equidigital number, since it uses as much as digits as its factorization.

217120440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 217120440000 its reverse (44021712), we get a palindrome (217164461712).

The spelling of 217120440000 in words is "two hundred seventeen billion, one hundred twenty million, four hundred forty thousand".