6442434140640 has 192 divisors, whose sum is σ = 20644211810880. Its totient is φ = 1688555110400.

The previous prime is 6442434140617. The next prime is 6442434140651. The reversal of 6442434140640 is 460414342446.

It is a junction number, because it is equal to n+sod(n) for n = 6442434140592 and 6442434140601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6156766 + ... + 7126754.

It is an arithmetic number, because the mean of its divisors is an integer number (107521936515).

Almost surely, 2^{6442434140640} is an apocalyptic number.

6442434140640 is a gapful number since it is divisible by the number (60) 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 6442434140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10322105905440).

6442434140640 is an abundant number, since it is smaller than the sum of its proper divisors (14201777670240).

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

6442434140640 is a wasteful number, since it uses less digits than its factorization.

6442434140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970245 (or 970237 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 6442434140640 in words is "six trillion, four hundred forty-two billion, four hundred thirty-four million, one hundred forty thousand, six hundred forty".