444313121104040 has 64 divisors (see below), whose sum is σ = 1000983270873600. Its totient is φ = 177497959871232.

The previous prime is 444313121104019. The next prime is 444313121104057. The reversal of 444313121104040 is 40401121313444.

It is a junction number, because it is equal to n+sod(n) for n = 444313121103988 and 444313121104006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321368879 + ... + 322748481.

It is an arithmetic number, because the mean of its divisors is an integer number (15640363607400).

Almost surely, 2^{444313121104040} is an apocalyptic number.

444313121104040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444313121104040 is an abundant number, since it is smaller than the sum of its proper divisors (556670149769560).

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

444313121104040 is a wasteful number, since it uses less digits than its factorization.

444313121104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389906 (or 1389902 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 444313121104040 its reverse (40401121313444), we get a palindrome (484714242417484).

The spelling of 444313121104040 in words is "four hundred forty-four trillion, three hundred thirteen billion, one hundred twenty-one million, one hundred four thousand, forty".