41372298823680 has 1152 divisors, whose sum is σ = 167814743241600. Its totient is φ = 9683612467200.

The previous prime is 41372298823631. The next prime is 41372298823697. The reversal of 41372298823680 is 8632889227314.

41372298823680 is a `hidden beast` number, since 4 + 1 + 37 + 2 + 298 + 8 + 236 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 793748020 + ... + 793800140.

It is an arithmetic number, because the mean of its divisors is an integer number (145672520175).

Almost surely, 2^{41372298823680} is an apocalyptic number.

41372298823680 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 41372298823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83907371620800).

41372298823680 is an abundant number, since it is smaller than the sum of its proper divisors (126442444417920).

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

41372298823680 is a wasteful number, since it uses less digits than its factorization.

41372298823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52203 (or 52171 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 41372298823680 in words is "forty-one trillion, three hundred seventy-two billion, two hundred ninety-eight million, eight hundred twenty-three thousand, six hundred eighty".