21414435240 has 256 divisors, whose sum is σ = 72209387520. Its totient is φ = 5034839040.

The previous prime is 21414435221. The next prime is 21414435247. The reversal of 21414435240 is 4253441412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21414435198 and 21414435207.

It is not an unprimeable number, because it can be changed into a prime (21414435247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22612447 + ... + 22613393.

It is an arithmetic number, because the mean of its divisors is an integer number (282067920).

Almost surely, 2^21414435240 is an apocalyptic number.

21414435240 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 21414435240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36104693760).

21414435240 is an abundant number, since it is smaller than the sum of its proper divisors (50794952280).

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

21414435240 is a wasteful number, since it uses less digits than its factorization.

21414435240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 21414435240 its reverse (4253441412), we get a palindrome (25667876652).

It can be divided in two parts, 21414 and 435240, that added together give a palindrome (456654).

The spelling of 21414435240 in words is "twenty-one billion, four hundred fourteen million, four hundred thirty-five thousand, two hundred forty".