1004021004321 has 20 divisors (see below), whose sum is σ = 1501973494164. Its totient is φ = 668392452000.

The previous prime is 1004021004317. The next prime is 1004021004331. The reversal of 1004021004321 is 1234001204001.

1004021004321 is a `hidden beast` number, since 100 + 402 + 100 + 43 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 575912514321 + 428108490000 = 758889^2 + 654300^2 .

It is not a de Polignac number, because 1004021004321 - 2² = 1004021004317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004021004294 and 1004021004303.

It is not an unprimeable number, because it can be changed into a prime (1004021004331) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8784390 + ... + 8897951.

Almost surely, 2^{1004021004321} is an apocalyptic number.

It is an amenable number.

1004021004321 is a deficient number, since it is larger than the sum of its proper divisors (497952489843).

1004021004321 is an equidigital number, since it uses as much as digits as its factorization.

1004021004321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17683054 (or 17683045 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1004021004321 its reverse (1234001204001), we get a palindrome (2238022208322).

The spelling of 1004021004321 in words is "one trillion, four billion, twenty-one million, four thousand, three hundred twenty-one".