441341516013216 has 384 divisors, whose sum is σ = 1488047593697280. Its totient is φ = 111323480260608.

The previous prime is 441341516013191. The next prime is 441341516013227. The reversal of 441341516013216 is 612310615143144.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1710371055 + ... + 1710629073.

It is an arithmetic number, because the mean of its divisors is an integer number (3875123941920).

Almost surely, 2^{441341516013216} is an apocalyptic number.

441341516013216 is a gapful number since it is divisible by the number (46) 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 441341516013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744023796848640).

441341516013216 is an abundant number, since it is smaller than the sum of its proper divisors (1046706077684064).

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

441341516013216 is a wasteful number, since it uses less digits than its factorization.

441341516013216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266588 (or 266580 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 441341516013216 in words is "four hundred forty-one trillion, three hundred forty-one billion, five hundred sixteen million, thirteen thousand, two hundred sixteen".