444000400101 has 10 divisors (see below), whose sum is σ = 663259857062. Its totient is φ = 296000266680.

The previous prime is 444000400099. The next prime is 444000400117. The reversal of 444000400101 is 101004000444.

It can be written as a sum of positive squares in only one way, i.e., 291221043201 + 152779356900 = 539649^2 + 390870^2 .

It is not a de Polignac number, because 444000400101 - 2¹ = 444000400099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444000400141) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2740743130 + ... + 2740743291.

Almost surely, 2^444000400101 is an apocalyptic number.

It is an amenable number.

444000400101 is a deficient number, since it is larger than the sum of its proper divisors (219259456961).

444000400101 is an equidigital number, since it uses as much as digits as its factorization.

444000400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481486433 (or 5481486424 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 444000400101 its reverse (101004000444), we get a palindrome (545004400545).

The spelling of 444000400101 in words is "four hundred forty-four billion, four hundred thousand, one hundred one".