40441210000000 has 192 divisors, whose sum is σ = 100757936883240. Its totient is φ = 16168440000000.

The previous prime is 40441209999991. The next prime is 40441210000027. The reversal of 40441210000000 is 1214404.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40441210000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24393879048256 + 16047330951744 = 4939016^2 + 4005912^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20109998995 + ... + 20110001005.

Almost surely, 2^{40441210000000} is an apocalyptic number.

40441210000000 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 40441210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50378968441620).

40441210000000 is an abundant number, since it is smaller than the sum of its proper divisors (60316726883240).

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

40441210000000 is an frugal number, since it uses more digits than its factorization.

40441210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 2018 counting only the distinct ones).

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

Adding to 40441210000000 its reverse (1214404), we get a palindrome (40441211214404).

The spelling of 40441210000000 in words is "forty trillion, four hundred forty-one billion, two hundred ten million", and thus it is an aban number.