444212201043100 has 144 divisors (see below), whose sum is σ = 1137403437520896. Its totient is φ = 147359839968000.

The previous prime is 444212201043073. The next prime is 444212201043133. The reversal of 444212201043100 is 1340102212444.

It is a super-2 number, since 2×444212201043100² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110231334 + ... + 114190066.

It is an arithmetic number, because the mean of its divisors is an integer number (7898634982784).

Almost surely, 2^{444212201043100} 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 444212201043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568701718760448).

444212201043100 is an abundant number, since it is smaller than the sum of its proper divisors (693191236477796).

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

444212201043100 is a wasteful number, since it uses less digits than its factorization.

444212201043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963956 (or 3963949 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 444212201043100 its reverse (1340102212444), we get a palindrome (445552303255544).

The spelling of 444212201043100 in words is "four hundred forty-four trillion, two hundred twelve billion, two hundred one million, forty-three thousand, one hundred".