4042401414001 has 2 divisors, whose sum is σ = 4042401414002. Its totient is φ = 4042401414000.

The previous prime is 4042401413927. The next prime is 4042401414011. The reversal of 4042401414001 is 1004141042404.

4042401414001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4035582783376 + 6818630625 = 2008876^2 + 82575^2 .

It is a cyclic number.

It is not a de Polignac number, because 4042401414001 - 2¹⁷ = 4042401282929 is a prime.

It is not a weakly prime, because it can be changed into another prime (4042401414011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2021200707000 + 2021200707001.

It is an arithmetic number, because the mean of its divisors is an integer number (2021200707001).

Almost surely, 2^{4042401414001} is an apocalyptic number.

It is an amenable number.

4042401414001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042401414001 is an equidigital number, since it uses as much as digits as its factorization.

4042401414001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4042401414001 its reverse (1004141042404), we get a palindrome (5046542456405).

The spelling of 4042401414001 in words is "four trillion, forty-two billion, four hundred one million, four hundred fourteen thousand, one".