6446256450400 has 288 divisors, whose sum is σ = 17049596256000. Its totient is φ = 2365853460480.

The previous prime is 6446256450397. The next prime is 6446256450421. The reversal of 6446256450400 is 40546526446.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 1364862439 + ... + 1364867161.

It is an arithmetic number, because the mean of its divisors is an integer number (59199987000).

Almost surely, 2^{6446256450400} 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 6446256450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524798128000).

6446256450400 is an abundant number, since it is smaller than the sum of its proper divisors (10603339805600).

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

6446256450400 is a wasteful number, since it uses less digits than its factorization.

6446256450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 6446256450400 in words is "six trillion, four hundred forty-six billion, two hundred fifty-six million, four hundred fifty thousand, four hundred".