41300320379136 has 576 divisors, whose sum is σ = 138658145794560. Its totient is φ = 10621090529280.

The previous prime is 41300320379119. The next prime is 41300320379167. The reversal of 41300320379136 is 63197302300314.

41300320379136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9710865586 + ... + 9710869838.

It is an arithmetic number, because the mean of its divisors is an integer number (240725947560).

Almost surely, 2^{41300320379136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41300320379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69329072897280).

41300320379136 is an abundant number, since it is smaller than the sum of its proper divisors (97357825415424).

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

41300320379136 is a wasteful number, since it uses less digits than its factorization.

41300320379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The spelling of 41300320379136 in words is "forty-one trillion, three hundred billion, three hundred twenty million, three hundred seventy-nine thousand, one hundred thirty-six".