216424011040 has 192 divisors, whose sum is σ = 528219667584. Its totient is φ = 83761717248.

The previous prime is 216424011031. The next prime is 216424011061. The reversal of 216424011040 is 40110424612.

It is a junction number, because it is equal to n+sod(n) for n = 216424010996 and 216424011014.

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, 271547922 + ... + 271548718.

It is an arithmetic number, because the mean of its divisors is an integer number (2751144102).

Almost surely, 2^216424011040 is an apocalyptic number.

216424011040 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 216424011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264109833792).

216424011040 is an abundant number, since it is smaller than the sum of its proper divisors (311795656544).

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

216424011040 is a wasteful number, since it uses less digits than its factorization.

216424011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 216424011040 its reverse (40110424612), we get a palindrome (256534435652).

The spelling of 216424011040 in words is "two hundred sixteen billion, four hundred twenty-four million, eleven thousand, forty".