40450775279616 has 384 divisors, whose sum is σ = 129129358176000. Its totient is φ = 12437984968704.

The previous prime is 40450775279599. The next prime is 40450775279617. The reversal of 40450775279616 is 61697257705404.

40450775279616 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 0 + 7 + 7 + 5 + 2 + 7 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (40450775279617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1109164230 + ... + 1109200698.

It is an arithmetic number, because the mean of its divisors is an integer number (336274370250).

Almost surely, 2^{40450775279616} 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 40450775279616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64564679088000).

40450775279616 is an abundant number, since it is smaller than the sum of its proper divisors (88678582896384).

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

40450775279616 is a wasteful number, since it uses less digits than its factorization.

40450775279616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38056 (or 38030 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 40450775279616 in words is "forty trillion, four hundred fifty billion, seven hundred seventy-five million, two hundred seventy-nine thousand, six hundred sixteen".