444421041340100 has 216 divisors, whose sum is σ = 1070818679108808. Its totient is φ = 159964640000000.

The previous prime is 444421041340099. The next prime is 444421041340117. The reversal of 444421041340100 is 1043140124444.

It can be written as a sum of positive squares in 12 ways, for example, as 7694720932096 + 436726320408004 = 2773936^2 + 20897998^2 .

It is a super-3 number, since 3×444421041340100³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4742923250 + ... + 4743016950.

It is an arithmetic number, because the mean of its divisors is an integer number (4957493884763).

Almost surely, 2^{444421041340100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444421041340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535409339554404).

444421041340100 is an abundant number, since it is smaller than the sum of its proper divisors (626397637768708).

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

444421041340100 is a wasteful number, since it uses less digits than its factorization.

444421041340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97719 (or 97701 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 444421041340100 its reverse (1043140124444), we get a palindrome (445464181464544).

The spelling of 444421041340100 in words is "four hundred forty-four trillion, four hundred twenty-one billion, forty-one million, three hundred forty thousand, one hundred".