41720417857800 has 1152 divisors, whose sum is σ = 166726203840000. Its totient is φ = 9555363417600.

The previous prime is 41720417857739. The next prime is 41720417857801. The reversal of 41720417857800 is 875871402714.

It is a happy number.

41720417857800 is a `hidden beast` number, since 4 + 1 + 7 + 20 + 41 + 7 + 8 + 578 + 0 + 0 = 666.

41720417857800 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 (54).

It is not an unprimeable number, because it can be changed into a prime (41720417857801) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 4705128967 + ... + 4705137833.

It is an arithmetic number, because the mean of its divisors is an integer number (144727607500).

Almost surely, 2^{41720417857800} is an apocalyptic number.

41720417857800 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 41720417857800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83363101920000).

41720417857800 is an abundant number, since it is smaller than the sum of its proper divisors (125005785982200).

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

41720417857800 is a wasteful number, since it uses less digits than its factorization.

41720417857800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9312 (or 9286 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 41720417857800 in words is "forty-one trillion, seven hundred twenty billion, four hundred seventeen million, eight hundred fifty-seven thousand, eight hundred".