40444142320000 has 160 divisors (see below), whose sum is σ = 100715626214280. Its totient is φ = 16172441088000.

The previous prime is 40444142319881. The next prime is 40444142320013. The reversal of 40444142320000 is 2324144404.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 252960084 + ... + 253119916.

Almost surely, 2^{40444142320000} is an apocalyptic number.

40444142320000 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 40444142320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50357813107140).

40444142320000 is an abundant number, since it is smaller than the sum of its proper divisors (60271483894280).

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

40444142320000 is an equidigital number, since it uses as much as digits as its factorization.

40444142320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163030 (or 163003 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 40444142320000 its reverse (2324144404), we get a palindrome (40446466464404).

The spelling of 40444142320000 in words is "forty trillion, four hundred forty-four billion, one hundred forty-two million, three hundred twenty thousand".