444030322321040 has 80 divisors (see below), whose sum is σ = 1270609845431808. Its totient is φ = 140528277831168.

The previous prime is 444030322321031. The next prime is 444030322321057. The reversal of 444030322321040 is 40123223030444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 444030322320988 and 444030322321006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30496580792 + ... + 30496595351.

Almost surely, 2^{444030322321040} is an apocalyptic number.

444030322321040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444030322321040 is an abundant number, since it is smaller than the sum of its proper divisors (826579523110768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444030322321040 is a wasteful number, since it uses less digits than its factorization.

444030322321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60993176176 (or 60993176170 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 444030322321040 its reverse (40123223030444), we get a palindrome (484153545351484).

The spelling of 444030322321040 in words is "four hundred forty-four trillion, thirty billion, three hundred twenty-two million, three hundred twenty-one thousand, forty".