41517660950640 has 800 divisors, whose sum is σ = 165392784184320. Its totient is φ = 9455491584000.

The previous prime is 41517660950639. The next prime is 41517660950659. The reversal of 41517660950640 is 4605906671514.

41517660950640 is a `hidden beast` number, since 4 + 1 + 5 + 1 + 76 + 60 + 9 + 506 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17965235085 + ... + 17965237395.

Almost surely, 2^{41517660950640} is an apocalyptic number.

41517660950640 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 41517660950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82696392092160).

41517660950640 is an abundant number, since it is smaller than the sum of its proper divisors (123875123233680).

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

41517660950640 is a wasteful number, since it uses less digits than its factorization.

41517660950640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 41517660950640 in words is "forty-one trillion, five hundred seventeen billion, six hundred sixty million, nine hundred fifty thousand, six hundred forty".