441604406144 has 64 divisors (see below), whose sum is σ = 990696199680. Its totient is φ = 194254118400.

The previous prime is 441604406129. The next prime is 441604406183.

441604406144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 441604406098 and 441604406107.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5015054 + ... + 5102349.

It is an arithmetic number, because the mean of its divisors is an integer number (15479628120).

Almost surely, 2^441604406144 is an apocalyptic number.

441604406144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441604406144 is an abundant number, since it is smaller than the sum of its proper divisors (549091793536).

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

441604406144 is a wasteful number, since it uses less digits than its factorization.

441604406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117459 (or 10117447 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

It can be divided in two parts, 441604 and 406144, that added together give a palindrome (847748).

The spelling of 441604406144 in words is "four hundred forty-one billion, six hundred four million, four hundred six thousand, one hundred forty-four".