1004440244100 has 144 divisors (see below), whose sum is σ = 2939093219328. Its totient is φ = 264831759360.

The previous prime is 1004440244083. The next prime is 1004440244117. The reversal of 1004440244100 is 14420444001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1004440244083) and next prime (1004440244117).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11118312 + ... + 11208288.

Almost surely, 2^{1004440244100} is an apocalyptic number.

1004440244100 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 1004440244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469546609664).

1004440244100 is an abundant number, since it is smaller than the sum of its proper divisors (1934652975228).

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

1004440244100 is a wasteful number, since it uses less digits than its factorization.

1004440244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90414 (or 90407 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1004440244100 its reverse (14420444001), we get a palindrome (1018860688101).

The spelling of 1004440244100 in words is "one trillion, four billion, four hundred forty million, two hundred forty-four thousand, one hundred".