6442145240 has 192 divisors, whose sum is σ = 16042199040. Its totient is φ = 2326231040.

The previous prime is 6442145239. The next prime is 6442145243. The reversal of 6442145240 is 425412446.

It is a junction number, because it is equal to n+sod(n) for n = 6442145197 and 6442145206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6442145243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 38575637 + ... + 38575803.

It is an arithmetic number, because the mean of its divisors is an integer number (83553120).

Almost surely, 2^6442145240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6442145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8021099520).

6442145240 is an abundant number, since it is smaller than the sum of its proper divisors (9600053800).

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

6442145240 is a wasteful number, since it uses less digits than its factorization.

6442145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 6442145240 is about 80262.9755242104. The cubic root of 6442145240 is about 1860.7020550908.

Adding to 6442145240 its reverse (425412446), we get a palindrome (6867557686).

The spelling of 6442145240 in words is "six billion, four hundred forty-two million, one hundred forty-five thousand, two hundred forty".