21442433130 has 256 divisors, whose sum is σ = 60046272000. Its totient is φ = 5440960512.

The previous prime is 21442433119. The next prime is 21442433137. The reversal of 21442433130 is 3133424412.

21442433130 is a `hidden beast` number, since 214 + 4 + 2 + 433 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21442433094 and 21442433103.

It is not an unprimeable number, because it can be changed into a prime (21442433137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92027494 + ... + 92027726.

It is an arithmetic number, because the mean of its divisors is an integer number (234555750).

Almost surely, 2^21442433130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21442433130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30023136000).

21442433130 is an abundant number, since it is smaller than the sum of its proper divisors (38603838870).

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

21442433130 is a wasteful number, since it uses less digits than its factorization.

21442433130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21442433130 its reverse (3133424412), we get a palindrome (24575857542).

The spelling of 21442433130 in words is "twenty-one billion, four hundred forty-two million, four hundred thirty-three thousand, one hundred thirty".