2004100014441 has 8 divisors (see below), whose sum is σ = 3053866688704. Its totient is φ = 1145200008240.

The previous prime is 2004100014403. The next prime is 2004100014461. The reversal of 2004100014441 is 1444100014002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2004100014441 - 2¹⁰ = 2004100013417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 95433334021 = 2004100014441 / (2 + 0 + 0 + 4 + 1 + 0 + 0 + 0 + 1 + 4 + 4 + 4 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004100014461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47716666990 + ... + 47716667031.

It is an arithmetic number, because the mean of its divisors is an integer number (381733336088).

Almost surely, 2^{2004100014441} is an apocalyptic number.

2004100014441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2004100014441 is a deficient number, since it is larger than the sum of its proper divisors (1049766674263).

2004100014441 is an equidigital number, since it uses as much as digits as its factorization.

2004100014441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95433334031.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2004100014441 its reverse (1444100014002), we get a palindrome (3448200028443).

The spelling of 2004100014441 in words is "two trillion, four billion, one hundred million, fourteen thousand, four hundred forty-one".