4445012000 has 384 divisors, whose sum is σ = 13539052800. Its totient is φ = 1410048000.

The previous prime is 4445011999. The next prime is 4445012059. The reversal of 4445012000 is 2105444.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10867796 + ... + 10868204.

It is an arithmetic number, because the mean of its divisors is an integer number (35257950).

Almost surely, 2^4445012000 is an apocalyptic number.

4445012000 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 4445012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769526400).

4445012000 is an abundant number, since it is smaller than the sum of its proper divisors (9094040800).

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

4445012000 is a wasteful number, since it uses less digits than its factorization.

4445012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4445012000 is about 66670.9231974479. The cubic root of 4445012000 is about 1644.2113655263.

Adding to 4445012000 its reverse (2105444), we get a palindrome (4447117444).

The spelling of 4445012000 in words is "four billion, four hundred forty-five million, twelve thousand".