216417238440 has 384 divisors, whose sum is σ = 726685344000. Its totient is φ = 51253862400.

The previous prime is 216417238439. The next prime is 216417238463. The reversal of 216417238440 is 44832714612.

It is a junction number, because it is equal to n+sod(n) for n = 216417238392 and 216417238401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 361297261 + ... + 361297859.

It is an arithmetic number, because the mean of its divisors is an integer number (1892409750).

Almost surely, 2^216417238440 is an apocalyptic number.

216417238440 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 216417238440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363342672000).

216417238440 is an abundant number, since it is smaller than the sum of its proper divisors (510268105560).

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

216417238440 is a wasteful number, since it uses less digits than its factorization.

216417238440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 216417238440 in words is "two hundred sixteen billion, four hundred seventeen million, two hundred thirty-eight thousand, four hundred forty".