41363757887760 has 1280 divisors, whose sum is σ = 181788364800000. Its totient is φ = 8569849559040.

The previous prime is 41363757887759. The next prime is 41363757887791. The reversal of 41363757887760 is 6778875736314.

41363757887760 is a `hidden beast` number, since 4 + 1 + 363 + 75 + 78 + 8 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 255 ways as a sum of consecutive naturals, for example, 2844231049 + ... + 2844245591.

It is an arithmetic number, because the mean of its divisors is an integer number (142022160000).

Almost surely, 2^{41363757887760} is an apocalyptic number.

41363757887760 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 41363757887760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90894182400000).

41363757887760 is an abundant number, since it is smaller than the sum of its proper divisors (140424606912240).

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

41363757887760 is a wasteful number, since it uses less digits than its factorization.

41363757887760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14946 (or 14920 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 41363757887760 in words is "forty-one trillion, three hundred sixty-three billion, seven hundred fifty-seven million, eight hundred eighty-seven thousand, seven hundred sixty".