441616080528 has 360 divisors, whose sum is σ = 1498647151872. Its totient is φ = 120928743936.

The previous prime is 441616080509. The next prime is 441616080539. The reversal of 441616080528 is 825080616144.

It is a happy number.

441616080528 is a `hidden beast` number, since 4 + 4 + 1 + 61 + 60 + 8 + 0 + 528 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17479201 + ... + 17504447.

Almost surely, 2^441616080528 is an apocalyptic number.

441616080528 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 441616080528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749323575936).

441616080528 is an abundant number, since it is smaller than the sum of its proper divisors (1057031071344).

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

441616080528 is a wasteful number, since it uses less digits than its factorization.

441616080528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25379 (or 25363 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 441616080528 in words is "four hundred forty-one billion, six hundred sixteen million, eighty thousand, five hundred twenty-eight".