41718850640640 has 288 divisors, whose sum is σ = 148053134577600. Its totient is φ = 11124338688000.

The previous prime is 41718850640603. The next prime is 41718850640651. The reversal of 41718850640640 is 4604605881714.

41718850640640 is a `hidden beast` number, since 4 + 1 + 7 + 188 + 50 + 6 + 406 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817975140 + ... + 818026140.

It is an arithmetic number, because the mean of its divisors is an integer number (514073383950).

Almost surely, 2^{41718850640640} is an apocalyptic number.

41718850640640 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 41718850640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74026567288800).

41718850640640 is an abundant number, since it is smaller than the sum of its proper divisors (106334283936960).

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

41718850640640 is a wasteful number, since it uses less digits than its factorization.

41718850640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74700 (or 74680 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 41718850640640 in words is "forty-one trillion, seven hundred eighteen billion, eight hundred fifty million, six hundred forty thousand, six hundred forty".