40444001200 has 120 divisors (see below), whose sum is σ = 100627309440. Its totient is φ = 15604838400.

The previous prime is 40444001189. The next prime is 40444001233. The reversal of 40444001200 is 210044404.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3925656 + ... + 3935944.

It is an arithmetic number, because the mean of its divisors is an integer number (838560912).

Almost surely, 2^40444001200 is an apocalyptic number.

40444001200 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 40444001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50313654720).

40444001200 is an abundant number, since it is smaller than the sum of its proper divisors (60183308240).

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

40444001200 is a wasteful number, since it uses less digits than its factorization.

40444001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10655 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 40444001200 its reverse (210044404), we get a palindrome (40654045604).

The spelling of 40444001200 in words is "forty billion, four hundred forty-four million, one thousand, two hundred".