4004413324301 has 16 divisors (see below), whose sum is σ = 4352272474368. Its totient is φ = 3662394523200.

The previous prime is 4004413324273. The next prime is 4004413324313. The reversal of 4004413324301 is 1034233144004.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4004413324301 - 2¹⁸ = 4004413062157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004413323301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2502251 + ... + 3777576.

It is an arithmetic number, because the mean of its divisors is an integer number (272017029648).

Almost surely, 2^{4004413324301} is an apocalyptic number.

It is an amenable number.

4004413324301 is a deficient number, since it is larger than the sum of its proper divisors (347859150067).

4004413324301 is a wasteful number, since it uses less digits than its factorization.

4004413324301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6280292.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 4004413324301 its reverse (1034233144004), we get a palindrome (5038646468305).

The spelling of 4004413324301 in words is "four trillion, four billion, four hundred thirteen million, three hundred twenty-four thousand, three hundred one".