216241541446240 has 192 divisors, whose sum is σ = 528672546275328. Its totient is φ = 83496734668800.

The previous prime is 216241541446211. The next prime is 216241541446279. The reversal of 216241541446240 is 42644145142612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4204799407 + ... + 4204850833.

It is an arithmetic number, because the mean of its divisors is an integer number (2753502845184).

Almost surely, 2^{216241541446240} is an apocalyptic number.

216241541446240 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 216241541446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264336273137664).

216241541446240 is an abundant number, since it is smaller than the sum of its proper divisors (312431004829088).

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

216241541446240 is a wasteful number, since it uses less digits than its factorization.

216241541446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53581 (or 53573 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 46.

Adding to 216241541446240 its reverse (42644145142612), we get a palindrome (258885686588852).

The spelling of 216241541446240 in words is "two hundred sixteen trillion, two hundred forty-one billion, five hundred forty-one million, four hundred forty-six thousand, two hundred forty".