445415300000 has 288 divisors, whose sum is σ = 1266100839360. Its totient is φ = 152435200000.

The previous prime is 445415299997. The next prime is 445415300039. The reversal of 445415300000 is 3514544.

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 47 ways as a sum of consecutive naturals, for example, 18688091 + ... + 18711909.

It is an arithmetic number, because the mean of its divisors is an integer number (4396183470).

Almost surely, 2^445415300000 is an apocalyptic number.

445415300000 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 445415300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633050419680).

445415300000 is an abundant number, since it is smaller than the sum of its proper divisors (820685539360).

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

445415300000 is a wasteful number, since it uses less digits than its factorization.

445415300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23882 (or 23854 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 445415300000 its reverse (3514544), we get a palindrome (445418814544).

The spelling of 445415300000 in words is "four hundred forty-five billion, four hundred fifteen million, three hundred thousand".