6442252414400 has 84 divisors (see below), whose sum is σ = 17293055335080. Its totient is φ = 2342637235200.

The previous prime is 6442252414399. The next prime is 6442252414439. The reversal of 6442252414400 is 44142522446.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 183000935 + ... + 183036134.

It is an arithmetic number, because the mean of its divisors is an integer number (205869706370).

Almost surely, 2^{6442252414400} is an apocalyptic number.

It is an amenable number.

6442252414400 is an abundant number, since it is smaller than the sum of its proper divisors (10850802920680).

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

6442252414400 is a wasteful number, since it uses less digits than its factorization.

6442252414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366037102 (or 366037087 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

Adding to 6442252414400 its reverse (44142522446), we get a palindrome (6486394936846).

The spelling of 6442252414400 in words is "six trillion, four hundred forty-two billion, two hundred fifty-two million, four hundred fourteen thousand, four hundred".