4004414321321 has 4 divisors (see below), whose sum is σ = 4019640231552. Its totient is φ = 3989188411092.

The previous prime is 4004414321309. The next prime is 4004414321363. The reversal of 4004414321321 is 1231234144004.

4004414321321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4004414321321 - 2²² = 4004410127017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004414321381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7612954721 + ... + 7612955246.

It is an arithmetic number, because the mean of its divisors is an integer number (1004910057888).

Almost surely, 2^{4004414321321} is an apocalyptic number.

It is an amenable number.

4004414321321 is a deficient number, since it is larger than the sum of its proper divisors (15225910231).

4004414321321 is a wasteful number, since it uses less digits than its factorization.

4004414321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15225910230.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 4004414321321 its reverse (1231234144004), we get a palindrome (5235648465325).

The spelling of 4004414321321 in words is "four trillion, four billion, four hundred fourteen million, three hundred twenty-one thousand, three hundred twenty-one".