444034131413041 has 24 divisors (see below), whose sum is σ = 499921242465960. Its totient is φ = 392028820820736.

The previous prime is 444034131413003. The next prime is 444034131413057. The reversal of 444034131413041 is 140314131430444.

It can be written as a sum of positive squares in 4 ways, for example, as 191100764166400 + 252933367246641 = 13823920^2 + 15903879^2 .

It is not a de Polignac number, because 444034131413041 - 2¹⁹ = 444034130888753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444034131413071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94035375 + ... + 98644411.

It is an arithmetic number, because the mean of its divisors is an integer number (20830051769415).

Almost surely, 2^{444034131413041} is an apocalyptic number.

It is an amenable number.

444034131413041 is a deficient number, since it is larger than the sum of its proper divisors (55887111052919).

444034131413041 is a wasteful number, since it uses less digits than its factorization.

444034131413041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623105 (or 4623082 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 444034131413041 its reverse (140314131430444), we get a palindrome (584348262843485).

The spelling of 444034131413041 in words is "four hundred forty-four trillion, thirty-four billion, one hundred thirty-one million, four hundred thirteen thousand, forty-one".