21140244222240 has 384 divisors, whose sum is σ = 78291016134912. Its totient is φ = 4727217438720.

The previous prime is 21140244222179. The next prime is 21140244222247. The reversal of 21140244222240 is 4222244204112.

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 = 21140244222198 and 21140244222207.

It is not an unprimeable number, because it can be changed into a prime (21140244222247) 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, 94130562 + ... + 94354878.

It is an arithmetic number, because the mean of its divisors is an integer number (203882854518).

Almost surely, 2^{21140244222240} is an apocalyptic number.

21140244222240 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 21140244222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39145508067456).

21140244222240 is an abundant number, since it is smaller than the sum of its proper divisors (57150771912672).

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

21140244222240 is a wasteful number, since it uses less digits than its factorization.

21140244222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225732 (or 225724 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 21140244222240 its reverse (4222244204112), we get a palindrome (25362488426352).

The spelling of 21140244222240 in words is "twenty-one trillion, one hundred forty billion, two hundred forty-four million, two hundred twenty-two thousand, two hundred forty".