41565049344 has 1280 divisors, whose sum is σ = 167189299200. Its totient is φ = 9889579008.

The previous prime is 41565049319. The next prime is 41565049369. The reversal of 41565049344 is 44394056514.

41565049344 is a `hidden beast` number, since 4 + 1 + 56 + 504 + 93 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (41565049319) and next prime (41565049369).

It is a self number, because there is not a number n which added to its sum of digits gives 41565049344.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 884362729 + ... + 884362775.

It is an arithmetic number, because the mean of its divisors is an integer number (130616640).

Almost surely, 2^41565049344 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 41565049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83594649600).

41565049344 is an abundant number, since it is smaller than the sum of its proper divisors (125624249856).

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

41565049344 is a wasteful number, since it uses less digits than its factorization.

41565049344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 41565049344 in words is "forty-one billion, five hundred sixty-five million, forty-nine thousand, three hundred forty-four".