41506133114880 has 1944 divisors, whose sum is σ = 174690301093308. Its totient is φ = 9438958190592.

The previous prime is 41506133114851. The next prime is 41506133114893. The reversal of 41506133114880 is 8841133160514.

41506133114880 is a `hidden beast` number, since 4 + 1 + 506 + 13 + 3 + 11 + 48 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38956771639296 + 2549361475584 = 6241536^2 + 1596672^2 .

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 210691030942 + ... + 210691031138.

Almost surely, 2^{41506133114880} is an apocalyptic number.

41506133114880 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 41506133114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87345150546654).

41506133114880 is an abundant number, since it is smaller than the sum of its proper divisors (133184167978428).

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

41506133114880 is an frugal number, since it uses more digits than its factorization.

41506133114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 41506133114880 in words is "forty-one trillion, five hundred six billion, one hundred thirty-three million, one hundred fourteen thousand, eight hundred eighty".