445333140000 has 1200 divisors, whose sum is σ = 1889518010688. Its totient is φ = 100756224000.

The previous prime is 445333139983. The next prime is 445333140013. The reversal of 445333140000 is 41333544.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1961819887 + ... + 1961820113.

Almost surely, 2^445333140000 is an apocalyptic number.

445333140000 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 445333140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944759005344).

445333140000 is an abundant number, since it is smaller than the sum of its proper divisors (1444184870688).

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

445333140000 is a wasteful number, since it uses less digits than its factorization.

445333140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 445333140000 its reverse (41333544), we get a palindrome (445374473544).

The spelling of 445333140000 in words is "four hundred forty-five billion, three hundred thirty-three million, one hundred forty thousand".