445326788497920 has 640 divisors, whose sum is σ = 1662926208768000. Its totient is φ = 101624167120896.

The previous prime is 445326788497849. The next prime is 445326788497939. The reversal of 445326788497920 is 29794887623544.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×445326788497920³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1630458007 + ... + 1630731113.

It is an arithmetic number, because the mean of its divisors is an integer number (2598322201200).

Almost surely, 2^{445326788497920} is an apocalyptic number.

445326788497920 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 445326788497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831463104384000).

445326788497920 is an abundant number, since it is smaller than the sum of its proper divisors (1217599420270080).

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

445326788497920 is an equidigital number, since it uses as much as digits as its factorization.

445326788497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273773 (or 273743 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 78.

The spelling of 445326788497920 in words is "four hundred forty-five trillion, three hundred twenty-six billion, seven hundred eighty-eight million, four hundred ninety-seven thousand, nine hundred twenty".