40036814807184 has 240 divisors, whose sum is σ = 123778406060400. Its totient is φ = 12002142781440.

The previous prime is 40036814807131. The next prime is 40036814807191. The reversal of 40036814807184 is 48170841863004.

40036814807184 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 6 + 81 + 480 + 7 + 1 + 84 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10774990070784 + 29261824736400 = 3282528^2 + 5409420^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40036814807184.

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, 55903392 + ... + 56615040.

It is an arithmetic number, because the mean of its divisors is an integer number (515743358585).

Almost surely, 2^{40036814807184} 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 40036814807184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61889203030200).

40036814807184 is an abundant number, since it is smaller than the sum of its proper divisors (83741591253216).

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

40036814807184 is a wasteful number, since it uses less digits than its factorization.

40036814807184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712450 (or 712441 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 40036814807184 in words is "forty trillion, thirty-six billion, eight hundred fourteen million, eight hundred seven thousand, one hundred eighty-four".