442431100041441 has 32 divisors (see below), whose sum is σ = 677936294870016. Its totient is φ = 251409559320000.

The previous prime is 442431100041433. The next prime is 442431100041481. The reversal of 442431100041441 is 144140001134244.

It is not a de Polignac number, because 442431100041441 - 2³ = 442431100041433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442431100041421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81333366 + ... + 86602416.

It is an arithmetic number, because the mean of its divisors is an integer number (21185509214688).

Almost surely, 2^{442431100041441} is an apocalyptic number.

It is an amenable number.

442431100041441 is a deficient number, since it is larger than the sum of its proper divisors (235505194828575).

442431100041441 is a wasteful number, since it uses less digits than its factorization.

442431100041441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291333.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 442431100041441 its reverse (144140001134244), we get a palindrome (586571101175685).

The spelling of 442431100041441 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred million, forty-one thousand, four hundred forty-one".