4436140416344 has 192 divisors, whose sum is σ = 10477133568000. Its totient is φ = 1723700459520.

The previous prime is 4436140416313. The next prime is 4436140416347.

It is a happy number.

4436140416344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4436140416295 and 4436140416304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4436140416347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 803500304 + ... + 803505824.

It is an arithmetic number, because the mean of its divisors is an integer number (54568404000).

Almost surely, 2^{4436140416344} 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 4436140416344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238566784000).

4436140416344 is an abundant number, since it is smaller than the sum of its proper divisors (6040993151656).

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

4436140416344 is a wasteful number, since it uses less digits than its factorization.

4436140416344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 4436140416344 in words is "four trillion, four hundred thirty-six billion, one hundred forty million, four hundred sixteen thousand, three hundred forty-four".