1444136627100 has 144 divisors (see below), whose sum is σ = 4399004556800. Its totient is φ = 364774648320.

The previous prime is 1444136627039. The next prime is 1444136627183. The reversal of 1444136627100 is 17266314441.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 42259821 + ... + 42293979.

Almost surely, 2^{1444136627100} is an apocalyptic number.

1444136627100 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 1444136627100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199502278400).

1444136627100 is an abundant number, since it is smaller than the sum of its proper divisors (2954867929700).

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

1444136627100 is a wasteful number, since it uses less digits than its factorization.

1444136627100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41612 (or 41605 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 1444136627100 in words is "one trillion, four hundred forty-four billion, one hundred thirty-six million, six hundred twenty-seven thousand, one hundred".