4004114040001 has 4 divisors (see below), whose sum is σ = 4004559000000. Its totient is φ = 4003669080004.

The previous prime is 4004114039969. The next prime is 4004114040013. The reversal of 4004114040001 is 1000404114004.

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 4004114040001 - 2⁵ = 4004114039969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004114040301) 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 3 ways as a sum of consecutive naturals, for example, 222466501 + ... + 222484498.

It is an arithmetic number, because the mean of its divisors is an integer number (1001139750000).

Almost surely, 2^{4004114040001} is an apocalyptic number.

It is an amenable number.

4004114040001 is a deficient number, since it is larger than the sum of its proper divisors (444959999).

4004114040001 is an equidigital number, since it uses as much as digits as its factorization.

4004114040001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444959998.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 4004114040001 its reverse (1000404114004), we get a palindrome (5004518154005).

The spelling of 4004114040001 in words is "four trillion, four billion, one hundred fourteen million, forty thousand, one".