40338545568 has 96 divisors (see below), whose sum is σ = 107498260800. Its totient is φ = 13242341376.

The previous prime is 40338545501. The next prime is 40338545609. The reversal of 40338545568 is 86554583304.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×40338545568³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 40338545568.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5175018 + ... + 5182806.

It is an arithmetic number, because the mean of its divisors is an integer number (1119773550).

Almost surely, 2^40338545568 is an apocalyptic number.

40338545568 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 40338545568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53749130400).

40338545568 is an abundant number, since it is smaller than the sum of its proper divisors (67159715232).

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

40338545568 is a wasteful number, since it uses less digits than its factorization.

40338545568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614 (or 8606 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 40338545568 in words is "forty billion, three hundred thirty-eight million, five hundred forty-five thousand, five hundred sixty-eight".