1444004004300 has 288 divisors, whose sum is σ = 4970545198080. Its totient is φ = 319042713600.

The previous prime is 1444004004281. The next prime is 1444004004337. The reversal of 1444004004300 is 34004004441.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3176064 + ... + 3602136.

Almost surely, 2^{1444004004300} is an apocalyptic number.

1444004004300 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 1444004004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485272599040).

1444004004300 is an abundant number, since it is smaller than the sum of its proper divisors (3526541193780).

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

1444004004300 is a wasteful number, since it uses less digits than its factorization.

1444004004300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426193 (or 426186 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1444004004300 its reverse (34004004441), we get a palindrome (1478008008741).

The spelling of 1444004004300 in words is "one trillion, four hundred forty-four billion, four million, four thousand, three hundred".