445043340544 has 288 divisors, whose sum is σ = 1049776422912. Its totient is φ = 186052608000.

The previous prime is 445043340479. The next prime is 445043340551.

445043340544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445043340497 and 445043340506.

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 31 ways as a sum of consecutive naturals, for example, 431661309 + ... + 431662339.

It is an arithmetic number, because the mean of its divisors is an integer number (3645057024).

Almost surely, 2^445043340544 is an apocalyptic number.

445043340544 is a gapful number since it is divisible by the number (44) 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 445043340544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524888211456).

445043340544 is an abundant number, since it is smaller than the sum of its proper divisors (604733082368).

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

445043340544 is a wasteful number, since it uses less digits than its factorization.

445043340544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 445043 and 340544, that added together give a palindrome (785587).

The spelling of 445043340544 in words is "four hundred forty-five billion, forty-three million, three hundred forty thousand, five hundred forty-four".