41567385404160 has 1296 divisors, whose sum is σ = 183379237396992. Its totient is φ = 8596172390400.

The previous prime is 41567385404119. The next prime is 41567385404161. The reversal of 41567385404160 is 6140458376514.

41567385404160 is a `hidden beast` number, since 4 + 1 + 5 + 6 + 7 + 38 + 540 + 4 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41567385404097 and 41567385404106.

It is not an unprimeable number, because it can be changed into a prime (41567385404161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1310142217 + ... + 1310173943.

It is an arithmetic number, because the mean of its divisors is an integer number (141496325152).

Almost surely, 2^{41567385404160} is an apocalyptic number.

41567385404160 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 41567385404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91689618698496).

41567385404160 is an abundant number, since it is smaller than the sum of its proper divisors (141811851992832).

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

41567385404160 is a wasteful number, since it uses less digits than its factorization.

41567385404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31990 (or 31966 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 41567385404160 in words is "forty-one trillion, five hundred sixty-seven billion, three hundred eighty-five million, four hundred four thousand, one hundred sixty".