6442141530 has 128 divisors (see below), whose sum is σ = 17642520576. Its totient is φ = 1490227200.

The previous prime is 6442141457. The next prime is 6442141549. The reversal of 6442141530 is 351412446.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4378695 + ... + 4380165.

It is an arithmetic number, because the mean of its divisors is an integer number (137832192).

Almost surely, 2^6442141530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6442141530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8821260288).

6442141530 is an abundant number, since it is smaller than the sum of its proper divisors (11200379046).

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

6442141530 is a wasteful number, since it uses less digits than its factorization.

6442141530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6442141530 is about 80262.9524126792. The cubic root of 6442141530 is about 1860.7016979010.

Adding to 6442141530 its reverse (351412446), we get a palindrome (6793553976).

The spelling of 6442141530 in words is "six billion, four hundred forty-two million, one hundred forty-one thousand, five hundred thirty".