41568172652160 has 4096 divisors, whose sum is σ = 198173786112000. Its totient is φ = 8042628464640.

The previous prime is 41568172652147. The next prime is 41568172652191. The reversal of 41568172652160 is 6125627186514.

41568172652160 is a `hidden beast` number, since 4 + 1 + 56 + 8 + 1 + 7 + 2 + 6 + 521 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41568172652097 and 41568172652106.

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, 327308446017 + ... + 327308446143.

It is an arithmetic number, because the mean of its divisors is an integer number (48382272000).

Almost surely, 2^{41568172652160} is an apocalyptic number.

41568172652160 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 41568172652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99086893056000).

41568172652160 is an abundant number, since it is smaller than the sum of its proper divisors (156605613459840).

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

41568172652160 is a wasteful number, since it uses less digits than its factorization.

41568172652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 41568172652160 in words is "forty-one trillion, five hundred sixty-eight billion, one hundred seventy-two million, six hundred fifty-two thousand, one hundred sixty".