40384416768 has 44 divisors (see below), whose sum is σ = 107639202360. Its totient is φ = 13461471232.

The previous prime is 40384416739. The next prime is 40384416773. The reversal of 40384416768 is 86761448304.

It is a super-2 number, since 2×40384416768² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40384416768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6569913 + ... + 6576056.

Almost surely, 2^40384416768 is an apocalyptic number.

40384416768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40384416768 is an abundant number, since it is smaller than the sum of its proper divisors (67254785592).

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

40384416768 is a wasteful number, since it uses less digits than its factorization.

40384416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13145992 (or 13145974 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 40384416768 in words is "forty billion, three hundred eighty-four million, four hundred sixteen thousand, seven hundred sixty-eight".