4444010110100 has 144 divisors (see below), whose sum is σ = 10632966071616. Its totient is φ = 1598705280000.

The previous prime is 4444010110097. The next prime is 4444010110103. The reversal of 4444010110100 is 10110104444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4444010110097) and next prime (4444010110103).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444010110103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142525712 + ... + 142556888.

It is an arithmetic number, because the mean of its divisors is an integer number (73840042164).

Almost surely, 2^{4444010110100} 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 4444010110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316483035808).

4444010110100 is an abundant number, since it is smaller than the sum of its proper divisors (6188955961516).

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

4444010110100 is a wasteful number, since it uses less digits than its factorization.

4444010110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32586 (or 32579 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 4444010110100 its reverse (10110104444), we get a palindrome (4454120214544).

The spelling of 4444010110100 in words is "four trillion, four hundred forty-four billion, ten million, one hundred ten thousand, one hundred".