40768189903488 has 256 divisors, whose sum is σ = 111197525852160. Its totient is φ = 13226873425920.

The previous prime is 40768189903481. The next prime is 40768189903543. The reversal of 40768189903488 is 88430998186704.

It is a super-2 number, since 2×40768189903488² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40768189903481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11227811433 + ... + 11227815063.

It is an arithmetic number, because the mean of its divisors is an integer number (434365335360).

Almost surely, 2^{40768189903488} is an apocalyptic number.

40768189903488 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 40768189903488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598762926080).

40768189903488 is an abundant number, since it is smaller than the sum of its proper divisors (70429335948672).

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

40768189903488 is a wasteful number, since it uses less digits than its factorization.

40768189903488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 75.

The spelling of 40768189903488 in words is "forty trillion, seven hundred sixty-eight billion, one hundred eighty-nine million, nine hundred three thousand, four hundred eighty-eight".