444076670444 has 48 divisors (see below), whose sum is σ = 877534106400. Its totient is φ = 194777587200.

The previous prime is 444076670431. The next prime is 444076670449.

444076670444 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 444076670392 and 444076670401.

It is not an unprimeable number, because it can be changed into a prime (444076670449) 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, 2078864 + ... + 2282504.

It is an arithmetic number, because the mean of its divisors is an integer number (18281960550).

Almost surely, 2^444076670444 is an apocalyptic number.

444076670444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444076670444 is a deficient number, since it is larger than the sum of its proper divisors (433457435956).

444076670444 is a wasteful number, since it uses less digits than its factorization.

444076670444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205394 (or 205392 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 50.

The spelling of 444076670444 in words is "four hundred forty-four billion, seventy-six million, six hundred seventy thousand, four hundred forty-four".