40917561312768 has 320 divisors, whose sum is σ = 126841076651520. Its totient is φ = 11478958866432.

The previous prime is 40917561312767. The next prime is 40917561312781. The reversal of 40917561312768 is 86721316571904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40917561312767) 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 31 ways as a sum of consecutive naturals, for example, 541078096 + ... + 541153712.

It is an arithmetic number, because the mean of its divisors is an integer number (396378364536).

It is a 1-persistent number, because it is pandigital, but 2⋅40917561312768 = 81835122625536 is not.

Almost surely, 2^{40917561312768} is an apocalyptic number.

40917561312768 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 40917561312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63420538325760).

40917561312768 is an abundant number, since it is smaller than the sum of its proper divisors (85923515338752).

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

40917561312768 is an equidigital number, since it uses as much as digits as its factorization.

40917561312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76557 (or 76541 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 40917561312768 in words is "forty trillion, nine hundred seventeen billion, five hundred sixty-one million, three hundred twelve thousand, seven hundred sixty-eight".