441136006388736 has 176 divisors, whose sum is σ = 1190827656756864. Its totient is φ = 145173877374976.

The previous prime is 441136006388699. The next prime is 441136006388797. The reversal of 441136006388736 is 637883600631144.

It is a super-3 number, since 3×441136006388736³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 441136006388736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94020091 + ... + 98600453.

Almost surely, 2^{441136006388736} 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 441136006388736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595413828378432).

441136006388736 is an abundant number, since it is smaller than the sum of its proper divisors (749691650368128).

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

441136006388736 is a wasteful number, since it uses less digits than its factorization.

441136006388736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580786 (or 4580768 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 441136006388736 in words is "four hundred forty-one trillion, one hundred thirty-six billion, six million, three hundred eighty-eight thousand, seven hundred thirty-six".