41849375230080 has 768 divisors, whose sum is σ = 166002130944000. Its totient is φ = 9608077025280.

The previous prime is 41849375230067. The next prime is 41849375230081. The reversal of 41849375230080 is 8003257394814.

It is a happy number.

41849375230080 is a `hidden beast` number, since 4 + 1 + 8 + 4 + 9 + 37 + 523 + 0 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41849375229999 and 41849375230026.

It is not an unprimeable number, because it can be changed into a prime (41849375230081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6812527489 + ... + 6812533631.

It is an arithmetic number, because the mean of its divisors is an integer number (216148608000).

Almost surely, 2^{41849375230080} is an apocalyptic number.

41849375230080 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 41849375230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83001065472000).

41849375230080 is an abundant number, since it is smaller than the sum of its proper divisors (124152755713920).

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

41849375230080 is a wasteful number, since it uses less digits than its factorization.

41849375230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11857 (or 11842 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 41849375230080 in words is "forty-one trillion, eight hundred forty-nine billion, three hundred seventy-five million, two hundred thirty thousand, eighty".