21144304242 has 96 divisors (see below), whose sum is σ = 49735296000. Its totient is φ = 6471087840.

The previous prime is 21144304241. The next prime is 21144304243. The reversal of 21144304242 is 24240344112.

21144304242 is a `hidden beast` number, since 2 + 114 + 4 + 304 + 242 = 666.

It is an interprime number because it is at equal distance from previous prime (21144304241) and next prime (21144304243).

It is a super-3 number, since 3×21144304242³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21144304241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1425259 + ... + 1440017.

It is an arithmetic number, because the mean of its divisors is an integer number (518076000).

Almost surely, 2^21144304242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21144304242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24867648000).

21144304242 is an abundant number, since it is smaller than the sum of its proper divisors (28590991758).

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

21144304242 is a wasteful number, since it uses less digits than its factorization.

21144304242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14916 (or 14913 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21144304242 its reverse (24240344112), we get a palindrome (45384648354).

The spelling of 21144304242 in words is "twenty-one billion, one hundred forty-four million, three hundred four thousand, two hundred forty-two".