444321301200040 has 256 divisors, whose sum is σ = 1164864995205120. Its totient is φ = 150903850352640.

The previous prime is 444321301200013. The next prime is 444321301200053. The reversal of 444321301200040 is 40002103123444.

It is a junction number, because it is equal to n+sod(n) for n = 444321301199981 and 444321301200008.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1364934177 + ... + 1365259663.

It is an arithmetic number, because the mean of its divisors is an integer number (4550253887520).

Almost surely, 2^{444321301200040} is an apocalyptic number.

444321301200040 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 444321301200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582432497602560).

444321301200040 is an abundant number, since it is smaller than the sum of its proper divisors (720543694005080).

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

444321301200040 is a wasteful number, since it uses less digits than its factorization.

444321301200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328712 (or 328708 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 444321301200040 its reverse (40002103123444), we get a palindrome (484323404323484).

The spelling of 444321301200040 in words is "four hundred forty-four trillion, three hundred twenty-one billion, three hundred one million, two hundred thousand, forty".