41014531359648 has 2160 divisors, whose sum is σ = 162549661317120. Its totient is φ = 9927978762240.

The previous prime is 41014531359629. The next prime is 41014531359649. The reversal of 41014531359648 is 84695313541014.

41014531359648 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 4 + 5 + 3 + 1 + 3 + 596 + 48 = 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 = 41014531359594 and 41014531359603.

It is not an unprimeable number, because it can be changed into a prime (41014531359649) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 80578646818 + ... + 80578647326.

It is an arithmetic number, because the mean of its divisors is an integer number (75254472832).

Almost surely, 2^{41014531359648} is an apocalyptic number.

41014531359648 is a gapful number since it is divisible by the number (48) 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 41014531359648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81274830658560).

41014531359648 is an abundant number, since it is smaller than the sum of its proper divisors (121535129957472).

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

41014531359648 is a wasteful number, since it uses less digits than its factorization.

41014531359648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 41014531359648 in words is "forty-one trillion, fourteen billion, five hundred thirty-one million, three hundred fifty-nine thousand, six hundred forty-eight".