444020042000 has 160 divisors (see below), whose sum is σ = 1139073567840. Its totient is φ = 166825574400.

The previous prime is 444020041951. The next prime is 444020042009. The reversal of 444020042000 is 240020444.

It can be written as a sum of positive squares in 16 ways, for example, as 220930081024 + 223089960976 = 470032^2 + 472324^2 .

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

It is not an unprimeable number, because it can be changed into a prime (444020042009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17293172 + ... + 17318828.

It is an arithmetic number, because the mean of its divisors is an integer number (7119209799).

Almost surely, 2^444020042000 is an apocalyptic number.

444020042000 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 444020042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569536783920).

444020042000 is an abundant number, since it is smaller than the sum of its proper divisors (695053525840).

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

444020042000 is a wasteful number, since it uses less digits than its factorization.

444020042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26206 (or 26190 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 444020042000 its reverse (240020444), we get a palindrome (444260062444).

The spelling of 444020042000 in words is "four hundred forty-four billion, twenty million, forty-two thousand".