40535885636064 has 720 divisors, whose sum is σ = 155297312311680. Its totient is φ = 10128095677440.

The previous prime is 40535885636039. The next prime is 40535885636131. The reversal of 40535885636064 is 46063658853504.

40535885636064 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 5 + 8 + 8 + 563 + 6 + 0 + 64 = 666.

40535885636064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 40535885635992 and 40535885636010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57912499 + ... + 58608269.

It is an arithmetic number, because the mean of its divisors is an integer number (215690711544).

Almost surely, 2^{40535885636064} 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 40535885636064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77648656155840).

40535885636064 is an abundant number, since it is smaller than the sum of its proper divisors (114761426675616).

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

40535885636064 is a wasteful number, since it uses less digits than its factorization.

40535885636064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695845 (or 695815 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 63.

The spelling of 40535885636064 in words is "forty trillion, five hundred thirty-five billion, eight hundred eighty-five million, six hundred thirty-six thousand, sixty-four".