444100003220000 has 240 divisors, whose sum is σ = 1154330957102400. Its totient is φ = 167664873600000.

The previous prime is 444100003219931. The next prime is 444100003220017. The reversal of 444100003220000 is 22300001444.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100047725 + ... + 104392275.

It is an arithmetic number, because the mean of its divisors is an integer number (4809712321260).

Almost surely, 2^{444100003220000} is an apocalyptic number.

444100003220000 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 444100003220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577165478551200).

444100003220000 is an abundant number, since it is smaller than the sum of its proper divisors (710230953882400).

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

444100003220000 is a wasteful number, since it uses less digits than its factorization.

444100003220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344869 (or 4344846 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 444100003220000 its reverse (22300001444), we get a palindrome (444122303221444).

The spelling of 444100003220000 in words is "four hundred forty-four trillion, one hundred billion, three million, two hundred twenty thousand".