41634968760 has 768 divisors, whose sum is σ = 178494451200. Its totient is φ = 8641624320.

The previous prime is 41634968747. The next prime is 41634968761. The reversal of 41634968760 is 6786943614.

41634968760 is a `hidden beast` number, since 4 + 16 + 3 + 496 + 87 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41634968697 and 41634968706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41634968761) 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 191 ways as a sum of consecutive naturals, for example, 47151279 + ... + 47152161.

It is an arithmetic number, because the mean of its divisors is an integer number (232414650).

Almost surely, 2^41634968760 is an apocalyptic number.

41634968760 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 41634968760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89247225600).

41634968760 is an abundant number, since it is smaller than the sum of its proper divisors (136859482440).

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

41634968760 is a wasteful number, since it uses less digits than its factorization.

41634968760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 41634968760 in words is "forty-one billion, six hundred thirty-four million, nine hundred sixty-eight thousand, seven hundred sixty".