1444034204200 has 144 divisors (see below), whose sum is σ = 3906173738880. Its totient is φ = 495014970240.

The previous prime is 1444034204149. The next prime is 1444034204243. The reversal of 1444034204200 is 24024304441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102530359 + ... + 102544441.

It is an arithmetic number, because the mean of its divisors is an integer number (27126206520).

Almost surely, 2^{1444034204200} is an apocalyptic number.

1444034204200 is a gapful number since it is divisible by the number (10) 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 1444034204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953086869440).

1444034204200 is an abundant number, since it is smaller than the sum of its proper divisors (2462139534680).

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

1444034204200 is a wasteful number, since it uses less digits than its factorization.

1444034204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24576 (or 24560 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 1444034204200 its reverse (24024304441), we get a palindrome (1468058508641).

The spelling of 1444034204200 in words is "one trillion, four hundred forty-four billion, thirty-four million, two hundred four thousand, two hundred".