1234004004321 has 48 divisors (see below), whose sum is σ = 1815707530560. Its totient is φ = 744911798400.

The previous prime is 1234004004307. The next prime is 1234004004353.

1234004004321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1234004004321 - 2⁹ = 1234004003809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1234004004291 and 1234004004300.

It is not an unprimeable number, because it can be changed into a prime (1234004004421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100704231 + ... + 100716483.

It is an arithmetic number, because the mean of its divisors is an integer number (37827240220).

Almost surely, 2^{1234004004321} is an apocalyptic number.

1234004004321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1234004004321 is a deficient number, since it is larger than the sum of its proper divisors (581703526239).

1234004004321 is a wasteful number, since it uses less digits than its factorization.

1234004004321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13358 (or 13347 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 1234004004321 in words is "one trillion, two hundred thirty-four billion, four million, four thousand, three hundred twenty-one".