21434240000 has 220 divisors, whose sum is σ = 54215351784. Its totient is φ = 8466432000.

The previous prime is 21434239979. The next prime is 21434240011. The reversal of 21434240000 is 4243412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68479844 + ... + 68480156.

Almost surely, 2^21434240000 is an apocalyptic number.

21434240000 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 21434240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27107675892).

21434240000 is an abundant number, since it is smaller than the sum of its proper divisors (32781111784).

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

21434240000 is an equidigital number, since it uses as much as digits as its factorization.

21434240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 21434240000 its reverse (4243412), we get a palindrome (21438483412).

It can be divided in two parts, 214 and 34240000, that multiplied together give a square (7327360000 = 85600²).

The spelling of 21434240000 in words is "twenty-one billion, four hundred thirty-four million, two hundred forty thousand".