541604424141 has 72 divisors (see below), whose sum is σ = 919503100152. Its totient is φ = 305876736000.

The previous prime is 541604424113. The next prime is 541604424149. The reversal of 541604424141 is 141424406145.

541604424141 is a `hidden beast` number, since 5 + 4 + 1 + 604 + 4 + 2 + 4 + 1 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 231972273225 + 309632150916 = 481635^2 + 556446^2 .

It is not a de Polignac number, because 541604424141 - 2¹⁰ = 541604423117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541604424096 and 541604424105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541604424149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1724985 + ... + 2014641.

It is an arithmetic number, because the mean of its divisors is an integer number (12770876391).

Almost surely, 2^541604424141 is an apocalyptic number.

541604424141 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

541604424141 is a deficient number, since it is larger than the sum of its proper divisors (377898676011).

541604424141 is a wasteful number, since it uses less digits than its factorization.

541604424141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289803 (or 289789 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 541604424141 in words is "five hundred forty-one billion, six hundred four million, four hundred twenty-four thousand, one hundred forty-one".