40931585075360 has 192 divisors, whose sum is σ = 111015965491200. Its totient is φ = 13970147853312.

The previous prime is 40931585075357. The next prime is 40931585075377. The reversal of 40931585075360 is 6357058513904.

40931585075360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 40931585075296 and 40931585075305.

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 31 ways as a sum of consecutive naturals, for example, 824161889 + ... + 824211551.

It is an arithmetic number, because the mean of its divisors is an integer number (578208153600).

Almost surely, 2^{40931585075360} is an apocalyptic number.

40931585075360 is a gapful number since it is divisible by the number (40) 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 40931585075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55507982745600).

40931585075360 is an abundant number, since it is smaller than the sum of its proper divisors (70084380415840).

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

40931585075360 is a wasteful number, since it uses less digits than its factorization.

40931585075360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53003 (or 52995 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 56.

The spelling of 40931585075360 in words is "forty trillion, nine hundred thirty-one billion, five hundred eighty-five million, seventy-five thousand, three hundred sixty".