1004044020144 has 120 divisors (see below), whose sum is σ = 2852639711040. Its totient is φ = 304082359680.

The previous prime is 1004044020103. The next prime is 1004044020283. The reversal of 1004044020144 is 4410204404001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 10330527 + ... + 10427265.

It is an arithmetic number, because the mean of its divisors is an integer number (23771997592).

Almost surely, 2^{1004044020144} 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 1004044020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426319855520).

1004044020144 is an abundant number, since it is smaller than the sum of its proper divisors (1848595690896).

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

1004044020144 is a wasteful number, since it uses less digits than its factorization.

1004044020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98559 (or 98542 counting only the distinct ones).

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

Adding to 1004044020144 its reverse (4410204404001), we get a palindrome (5414248424145).

The spelling of 1004044020144 in words is "one trillion, four billion, forty-four million, twenty thousand, one hundred forty-four".