445332096000 has 1056 divisors, whose sum is σ = 1771848089856. Its totient is φ = 106659840000.

The previous prime is 445332095977. The next prime is 445332096007. The reversal of 445332096000 is 690233544.

445332096000 is a `hidden beast` number, since 4 + 45 + 3 + 3 + 2 + 0 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (445332096007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1431935845 + ... + 1431936155.

Almost surely, 2^445332096000 is an apocalyptic number.

445332096000 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 445332096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885924044928).

445332096000 is an abundant number, since it is smaller than the sum of its proper divisors (1326515993856).

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

445332096000 is a wasteful number, since it uses less digits than its factorization.

445332096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 445332096000 in words is "four hundred forty-five billion, three hundred thirty-two million, ninety-six thousand".