445334120000 has 280 divisors, whose sum is σ = 1376779039680. Its totient is φ = 138804480000.

The previous prime is 445334119913. The next prime is 445334120003. The reversal of 445334120000 is 21433544.

It is a tau number, because it is divible by the number of its divisors (280).

It is not an unprimeable number, because it can be changed into a prime (445334120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3007706 + ... + 3152294.

Almost surely, 2^445334120000 is an apocalyptic number.

445334120000 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 445334120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688389519840).

445334120000 is an abundant number, since it is smaller than the sum of its proper divisors (931444919680).

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

445334120000 is a wasteful number, since it uses less digits than its factorization.

445334120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144639 (or 144614 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 445334120000 its reverse (21433544), we get a palindrome (445355553544).

The spelling of 445334120000 in words is "four hundred forty-five billion, three hundred thirty-four million, one hundred twenty thousand".