445015782881280 has 960 divisors, whose sum is σ = 1773185859244800. Its totient is φ = 106008642846720.

The previous prime is 445015782881251. The next prime is 445015782881291. The reversal of 445015782881280 is 82188287510544.

It is a happy number.

445015782881280 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 1 + 5 + 78 + 288 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 333598656 + ... + 334929984.

It is an arithmetic number, because the mean of its divisors is an integer number (1847068603380).

Almost surely, 2^{445015782881280} is an apocalyptic number.

445015782881280 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 445015782881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886592929622400).

445015782881280 is an abundant number, since it is smaller than the sum of its proper divisors (1328170076363520).

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

445015782881280 is a wasteful number, since it uses less digits than its factorization.

445015782881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331412 (or 1331383 counting only the distinct ones).

The product of its (nonzero) digits is 45875200, while the sum is 63.

The spelling of 445015782881280 in words is "four hundred forty-five trillion, fifteen billion, seven hundred eighty-two million, eight hundred eighty-one thousand, two hundred eighty".