444800041 has 16 divisors (see below), whose sum is σ = 525251584. Its totient is φ = 368749584.

The previous prime is 444799987. The next prime is 444800047. The reversal of 444800041 is 140008444.

It is a happy number.

It is not a de Polignac number, because 444800041 - 2⁷ = 444799913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444799979 and 444800015.

It is not an unprimeable number, because it can be changed into a prime (444800047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23830 + ... + 38176.

It is an arithmetic number, because the mean of its divisors is an integer number (32828224).

Almost surely, 2^444800041 is an apocalyptic number.

It is an amenable number.

444800041 is a deficient number, since it is larger than the sum of its proper divisors (80451543).

444800041 is a wasteful number, since it uses less digits than its factorization.

444800041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14500.

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 444800041 is about 21090.2830943541. The cubic root of 444800041 is about 763.3463023334.

Adding to 444800041 its reverse (140008444), we get a palindrome (584808485).

The spelling of 444800041 in words is "four hundred forty-four million, eight hundred thousand, forty-one".