240301044210216 has 256 divisors, whose sum is σ = 662313085378560. Its totient is φ = 72051180860160.

The previous prime is 240301044210181. The next prime is 240301044210217. The reversal of 240301044210216 is 612012440103042.

It is not an unprimeable number, because it can be changed into a prime (240301044210217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11717990635 + ... + 11718011141.

It is an arithmetic number, because the mean of its divisors is an integer number (2587160489760).

Almost surely, 2^{240301044210216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240301044210216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331156542689280).

240301044210216 is an abundant number, since it is smaller than the sum of its proper divisors (422012041168344).

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

240301044210216 is a wasteful number, since it uses less digits than its factorization.

240301044210216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21884 (or 21880 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 240301044210216 its reverse (612012440103042), we get a palindrome (852313484313258).

The spelling of 240301044210216 in words is "two hundred forty trillion, three hundred one billion, forty-four million, two hundred ten thousand, two hundred sixteen".