41163258597120 has 864 divisors, whose sum is σ = 160543258896384. Its totient is φ = 9647227699200.

The previous prime is 41163258597059. The next prime is 41163258597127. The reversal of 41163258597120 is 2179585236114.

41163258597120 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 3 + 25 + 8 + 597 + 1 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41163258597127) 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, 4293648967 + ... + 4293658553.

It is an arithmetic number, because the mean of its divisors is an integer number (185813957056).

It is a 3-persistent number, because k⋅41163258597120 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{41163258597120} is an apocalyptic number.

41163258597120 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 41163258597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80271629448192).

41163258597120 is an abundant number, since it is smaller than the sum of its proper divisors (119380000299264).

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

41163258597120 is a wasteful number, since it uses less digits than its factorization.

41163258597120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10749 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 41163258597120 in words is "forty-one trillion, one hundred sixty-three billion, two hundred fifty-eight million, five hundred ninety-seven thousand, one hundred twenty".