41395306680000 has 3360 divisors, whose sum is σ = 194650028052480. Its totient is φ = 8159477760000.

The previous prime is 41395306679941. The next prime is 41395306680037. The reversal of 41395306680000 is 8660359314.

41395306680000 is a `hidden beast` number, since 4 + 1 + 39 + 530 + 6 + 6 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 133103879845 + ... + 133103880155.

It is an arithmetic number, because the mean of its divisors is an integer number (57931555968).

Almost surely, 2^{41395306680000} is an apocalyptic number.

41395306680000 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 41395306680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97325014026240).

41395306680000 is an abundant number, since it is smaller than the sum of its proper divisors (153254721372480).

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

41395306680000 is a wasteful number, since it uses less digits than its factorization.

41395306680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 41395306680000 in words is "forty-one trillion, three hundred ninety-five billion, three hundred six million, six hundred eighty thousand".