216034114240 has 112 divisors (see below), whose sum is σ = 589699632384. Its totient is φ = 73844812800.

The previous prime is 216034114229. The next prime is 216034114291. The reversal of 216034114240 is 42411430612.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×216034114240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 216034114199 and 216034114208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595755 + ... + 887125.

Almost surely, 2^216034114240 is an apocalyptic number.

216034114240 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 216034114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294849816192).

216034114240 is an abundant number, since it is smaller than the sum of its proper divisors (373665518144).

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

216034114240 is a wasteful number, since it uses less digits than its factorization.

216034114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291726 (or 291716 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 216034114240 its reverse (42411430612), we get a palindrome (258445544852).

The spelling of 216034114240 in words is "two hundred sixteen billion, thirty-four million, one hundred fourteen thousand, two hundred forty".