41009671422720 has 4608 divisors, whose sum is σ = 201009919057920. Its totient is φ = 7707820032000.

The previous prime is 41009671422677. The next prime is 41009671422791. The reversal of 41009671422720 is 2722417690014.

41009671422720 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 96 + 71 + 422 + 72 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 406036350670 + ... + 406036350770.

It is an arithmetic number, because the mean of its divisors is an integer number (43621944240).

Almost surely, 2^{41009671422720} is an apocalyptic number.

41009671422720 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 41009671422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100504959528960).

41009671422720 is an abundant number, since it is smaller than the sum of its proper divisors (160000247635200).

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

41009671422720 is a wasteful number, since it uses less digits than its factorization.

41009671422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 41009671422720 in words is "forty-one trillion, nine billion, six hundred seventy-one million, four hundred twenty-two thousand, seven hundred twenty".