2004354101441 has 8 divisors (see below), whose sum is σ = 2053272568200. Its totient is φ = 1955437148160.

The previous prime is 2004354101423. The next prime is 2004354101443. The reversal of 2004354101441 is 1441014534002.

It can be written as a sum of positive squares in 4 ways, for example, as 15701343025 + 1988652758416 = 125305^2 + 1410196^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2004354101441 - 2³⁰ = 2003280359617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004354101443) 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, 2581805 + ... + 3267173.

It is an arithmetic number, because the mean of its divisors is an integer number (256659071025).

Almost surely, 2^{2004354101441} is an apocalyptic number.

It is an amenable number.

2004354101441 is a deficient number, since it is larger than the sum of its proper divisors (48918466759).

2004354101441 is an equidigital number, since it uses as much as digits as its factorization.

2004354101441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756739.

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 2004354101441 its reverse (1441014534002), we get a palindrome (3445368635443).

The spelling of 2004354101441 in words is "two trillion, four billion, three hundred fifty-four million, one hundred one thousand, four hundred forty-one".