445304330000 has 300 divisors, whose sum is σ = 1144451742588. Its totient is φ = 167771520000.

The previous prime is 445304329949. The next prime is 445304330039. The reversal of 445304330000 is 33403544.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 371607283216 + 73697046784 = 609596^2 + 271472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1057729790 + ... + 1057730210.

Almost surely, 2^445304330000 is an apocalyptic number.

445304330000 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 445304330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572225871294).

445304330000 is an abundant number, since it is smaller than the sum of its proper divisors (699147412588).

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

445304330000 is a wasteful number, since it uses less digits than its factorization.

445304330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 445304330000 its reverse (33403544), we get a palindrome (445337733544).

The spelling of 445304330000 in words is "four hundred forty-five billion, three hundred four million, three hundred thirty thousand".