41871684741120 has 1728 divisors, whose sum is σ = 163785025797120. Its totient is φ = 10212065280000.

The previous prime is 41871684741059. The next prime is 41871684741143. The reversal of 41871684741120 is 2114748617814.

41871684741120 is a `hidden beast` number, since 4 + 1 + 8 + 7 + 168 + 47 + 411 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 143 ways as a sum of consecutive naturals, for example, 166819460995 + ... + 166819461245.

It is an arithmetic number, because the mean of its divisors is an integer number (94783001040).

Almost surely, 2^{41871684741120} is an apocalyptic number.

41871684741120 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 41871684741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81892512898560).

41871684741120 is an abundant number, since it is smaller than the sum of its proper divisors (121913341056000).

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

41871684741120 is an equidigital number, since it uses as much as digits as its factorization.

41871684741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 41871684741120 in words is "forty-one trillion, eight hundred seventy-one billion, six hundred eighty-four million, seven hundred forty-one thousand, one hundred twenty".