4440010201000 has 256 divisors, whose sum is σ = 11381825445120. Its totient is φ = 1607774080000.

The previous prime is 4440010200991. The next prime is 4440010201007. The reversal of 4440010201000 is 1020100444.

It is not an unprimeable number, because it can be changed into a prime (4440010201007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4184740470 + ... + 4184741530.

It is an arithmetic number, because the mean of its divisors is an integer number (44460255645).

Almost surely, 2^{4440010201000} is an apocalyptic number.

4440010201000 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 4440010201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690912722560).

4440010201000 is an abundant number, since it is smaller than the sum of its proper divisors (6941815244120).

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

4440010201000 is a wasteful number, since it uses less digits than its factorization.

4440010201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 4440010201000 its reverse (1020100444), we get a palindrome (4441030301444).

The spelling of 4440010201000 in words is "four trillion, four hundred forty billion, ten million, two hundred one thousand".