41552332333344 has 288 divisors, whose sum is σ = 140934450908160. Its totient is φ = 11354478829056.

The previous prime is 41552332333339. The next prime is 41552332333361. The reversal of 41552332333344 is 44333323325514.

41552332333344 is a `hidden beast` number, since 4 + 1 + 5 + 52 + 33 + 233 + 334 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 41552332333344.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395883879 + ... + 395988825.

It is an arithmetic number, because the mean of its divisors is an integer number (489355732320).

Almost surely, 2^{41552332333344} 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 41552332333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70467225454080).

41552332333344 is an abundant number, since it is smaller than the sum of its proper divisors (99382118574816).

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

41552332333344 is a wasteful number, since it uses less digits than its factorization.

41552332333344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113532 (or 113521 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 45.

Adding to 41552332333344 its reverse (44333323325514), we get a palindrome (85885655658858).

The spelling of 41552332333344 in words is "forty-one trillion, five hundred fifty-two billion, three hundred thirty-two million, three hundred thirty-three thousand, three hundred forty-four".