1004144400321 has 8 divisors (see below), whose sum is σ = 1339692348864. Its totient is φ = 669013026000.

The previous prime is 1004144400307. The next prime is 1004144400331. The reversal of 1004144400321 is 1230044414001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1004144400321 - 2⁵ = 1004144400289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004144400291 and 1004144400300.

It is not an unprimeable number, because it can be changed into a prime (1004144400331) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 104137930 + ... + 104147571.

It is an arithmetic number, because the mean of its divisors is an integer number (167461543608).

Almost surely, 2^{1004144400321} is an apocalyptic number.

It is an amenable number.

1004144400321 is a deficient number, since it is larger than the sum of its proper divisors (335547948543).

1004144400321 is a wasteful number, since it uses less digits than its factorization.

1004144400321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208287111.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1004144400321 its reverse (1230044414001), we get a palindrome (2234188814322).

The spelling of 1004144400321 in words is "one trillion, four billion, one hundred forty-four million, four hundred thousand, three hundred twenty-one".