444010221241040 has 80 divisors (see below), whose sum is σ = 1040317133049216. Its totient is φ = 176229179942400.

The previous prime is 444010221241039. The next prime is 444010221241099. The reversal of 444010221241040 is 40142122010444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×444010221241040³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444010221240994 and 444010221241012.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 94338749 + ... + 98933411.

Almost surely, 2^{444010221241040} is an apocalyptic number.

444010221241040 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 444010221241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520158566524608).

444010221241040 is an abundant number, since it is smaller than the sum of its proper divisors (596306911808176).

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

444010221241040 is a wasteful number, since it uses less digits than its factorization.

444010221241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604028 (or 4604022 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 444010221241040 its reverse (40142122010444), we get a palindrome (484152343251484).

The spelling of 444010221241040 in words is "four hundred forty-four trillion, ten billion, two hundred twenty-one million, two hundred forty-one thousand, forty".