444412404100 has 216 divisors, whose sum is σ = 1151803654848. Its totient is φ = 148342521600.

The previous prime is 444412404049. The next prime is 444412404101. The reversal of 444412404100 is 1404214444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (444412404101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34014169 + ... + 34027231.

It is an arithmetic number, because the mean of its divisors is an integer number (5332424328).

Almost surely, 2^444412404100 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 444412404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575901827424).

444412404100 is an abundant number, since it is smaller than the sum of its proper divisors (707391250748).

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

444412404100 is a wasteful number, since it uses less digits than its factorization.

444412404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13275 (or 13261 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 444412404100 its reverse (1404214444), we get a palindrome (445816618544).

The spelling of 444412404100 in words is "four hundred forty-four billion, four hundred twelve million, four hundred four thousand, one hundred".