40356016359408 has 120 divisors (see below), whose sum is σ = 113397991543200. Its totient is φ = 13397636431872.

The previous prime is 40356016359341. The next prime is 40356016359409. The reversal of 40356016359408 is 80495361065304.

40356016359408 is a `hidden beast` number, since 4 + 0 + 3 + 560 + 1 + 6 + 35 + 9 + 40 + 8 = 666.

It is a super-3 number, since 3×40356016359408³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40356016359409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44634933 + ... + 45530091.

It is an arithmetic number, because the mean of its divisors is an integer number (944983262860).

Almost surely, 2^{40356016359408} is an apocalyptic number.

40356016359408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40356016359408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56698995771600).

40356016359408 is an abundant number, since it is smaller than the sum of its proper divisors (73041975183792).

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

40356016359408 is a wasteful number, since it uses less digits than its factorization.

40356016359408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896439 (or 896430 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 40356016359408 in words is "forty trillion, three hundred fifty-six billion, sixteen million, three hundred fifty-nine thousand, four hundred eight".