2004421253541 has 16 divisors (see below), whose sum is σ = 3136906364544. Its totient is φ = 1114427260224.

The previous prime is 2004421253533. The next prime is 2004421253579. The reversal of 2004421253541 is 1453521244002.

It is not a de Polignac number, because 2004421253541 - 2³ = 2004421253533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004421253521) 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, 1289845590 + ... + 1289847143.

It is an arithmetic number, because the mean of its divisors is an integer number (196056647784).

Almost surely, 2^{2004421253541} is an apocalyptic number.

2004421253541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2004421253541 is a deficient number, since it is larger than the sum of its proper divisors (1132485111003).

2004421253541 is a wasteful number, since it uses less digits than its factorization.

2004421253541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579692780.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 2004421253541 its reverse (1453521244002), we get a palindrome (3457942497543).

The spelling of 2004421253541 in words is "two trillion, four billion, four hundred twenty-one million, two hundred fifty-three thousand, five hundred forty-one".