40444112000 has 64 divisors (see below), whose sum is σ = 100554213240. Its totient is φ = 16177638400.

The previous prime is 40444111891. The next prime is 40444112029. The reversal of 40444112000 is 21144404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17975301184 + 22468810816 = 134072^2 + 149896^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1247879 + ... + 1279878.

Almost surely, 2^40444112000 is an apocalyptic number.

40444112000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444112000 is an abundant number, since it is smaller than the sum of its proper divisors (60110101240).

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

40444112000 is an equidigital number, since it uses as much as digits as its factorization.

40444112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527786 (or 2527764 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 40444112000 its reverse (21144404), we get a palindrome (40465256404).

The spelling of 40444112000 in words is "forty billion, four hundred forty-four million, one hundred twelve thousand".