441604259328 has 160 divisors (see below), whose sum is σ = 1242659607552. Its totient is φ = 139139481600.

The previous prime is 441604259293. The next prime is 441604259339. The reversal of 441604259328 is 823952406144.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939648 + ... + 2155328.

Almost surely, 2^441604259328 is an apocalyptic number.

441604259328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441604259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621329803776).

441604259328 is an abundant number, since it is smaller than the sum of its proper divisors (801055348224).

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

441604259328 is a wasteful number, since it uses less digits than its factorization.

441604259328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215776 (or 215760 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 441604259328 in words is "four hundred forty-one billion, six hundred four million, two hundred fifty-nine thousand, three hundred twenty-eight".