21114432240 has 240 divisors, whose sum is σ = 72285623424. Its totient is φ = 5094510080.

The previous prime is 21114432211. The next prime is 21114432257. The reversal of 21114432240 is 4223441112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21114432240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6590479 + ... + 6593681.

Almost surely, 2^21114432240 is an apocalyptic number.

21114432240 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 21114432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36142811712).

21114432240 is an abundant number, since it is smaller than the sum of its proper divisors (51171191184).

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

21114432240 is a wasteful number, since it uses less digits than its factorization.

21114432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21114432240 its reverse (4223441112), we get a palindrome (25337873352).

It can be divided in two parts, 21114 and 432240, that added together give a palindrome (453354).

The spelling of 21114432240 in words is "twenty-one billion, one hundred fourteen million, four hundred thirty-two thousand, two hundred forty".