442004521202541 has 48 divisors (see below), whose sum is σ = 712889062060032. Its totient is φ = 261578444752800.

The previous prime is 442004521202539. The next prime is 442004521202557. The reversal of 442004521202541 is 145202125400244.

442004521202541 is a `hidden beast` number, since 4 + 4 + 20 + 0 + 452 + 120 + 25 + 41 = 666.

It is not a de Polignac number, because 442004521202541 - 2¹ = 442004521202539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442004521202496 and 442004521202505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442004521202521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663796 + ... + 29739698.

It is an arithmetic number, because the mean of its divisors is an integer number (14851855459584).

Almost surely, 2^{442004521202541} is an apocalyptic number.

It is an amenable number.

442004521202541 is a deficient number, since it is larger than the sum of its proper divisors (270884540857491).

442004521202541 is a wasteful number, since it uses less digits than its factorization.

442004521202541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29079534 (or 29079531 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 442004521202541 its reverse (145202125400244), we get a palindrome (587206646602785).

The spelling of 442004521202541 in words is "four hundred forty-two trillion, four billion, five hundred twenty-one million, two hundred two thousand, five hundred forty-one".