1001004310144 has 128 divisors (see below), whose sum is σ = 2211691622400. Its totient is φ = 449138359296.

The previous prime is 1001004310069. The next prime is 1001004310219. The reversal of 1001004310144 is 4410134001001.

It is an interprime number because it is at equal distance from previous prime (1001004310069) and next prime (1001004310219).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5674537 + ... + 5848279.

It is an arithmetic number, because the mean of its divisors is an integer number (17278840800).

Almost surely, 2^{1001004310144} 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 1001004310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105845811200).

1001004310144 is an abundant number, since it is smaller than the sum of its proper divisors (1210687312256).

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

1001004310144 is a wasteful number, since it uses less digits than its factorization.

1001004310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173902 (or 173890 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1001004310144 its reverse (4410134001001), we get a palindrome (5411138311145).

The spelling of 1001004310144 in words is "one trillion, one billion, four million, three hundred ten thousand, one hundred forty-four".