445056768000 has 1440 divisors, whose sum is σ = 1810610081280. Its totient is φ = 108689817600.

The previous prime is 445056767971. The next prime is 445056768017. The reversal of 445056768000 is 867650544.

445056768000 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 567 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3504383937 + ... + 3504384063.

It is an arithmetic number, because the mean of its divisors is an integer number (1257368112).

Almost surely, 2^445056768000 is an apocalyptic number.

445056768000 is a gapful number since it is divisible by the number (40) 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 445056768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905305040640).

445056768000 is an abundant number, since it is smaller than the sum of its proper divisors (1365553313280).

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

445056768000 is a wasteful number, since it uses less digits than its factorization.

445056768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 445056768000 in words is "four hundred forty-five billion, fifty-six million, seven hundred sixty-eight thousand".