441613410336 has 144 divisors (see below), whose sum is σ = 1442759205888. Its totient is φ = 125514547200.

The previous prime is 441613410313. The next prime is 441613410383. The reversal of 441613410336 is 633014316144.

441613410336 is a `hidden beast` number, since 4 + 4 + 1 + 613 + 4 + 1 + 0 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 441613410336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188385 + ... + 958496.

It is an arithmetic number, because the mean of its divisors is an integer number (10019161152).

Almost surely, 2^441613410336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441613410336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721379602944).

441613410336 is an abundant number, since it is smaller than the sum of its proper divisors (1001145795552).

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

441613410336 is a wasteful number, since it uses less digits than its factorization.

441613410336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147095 (or 1147084 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 441613410336 in words is "four hundred forty-one billion, six hundred thirteen million, four hundred ten thousand, three hundred thirty-six".