41564161152000 has 1760 divisors, whose sum is σ = 169324888651776. Its totient is φ = 10093953024000.

The previous prime is 41564161151987. The next prime is 41564161152001. The reversal of 41564161152000 is 25116146514.

41564161152000 is a `hidden beast` number, since 4 + 1 + 5 + 641 + 6 + 1 + 1 + 5 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41564161152001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 5463932197 + ... + 5463939803.

Almost surely, 2^{41564161152000} is an apocalyptic number.

41564161152000 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 41564161152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84662444325888).

41564161152000 is an abundant number, since it is smaller than the sum of its proper divisors (127760727499776).

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

41564161152000 is a wasteful number, since it uses less digits than its factorization.

41564161152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7702 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 41564161152000 its reverse (25116146514), we get a palindrome (41589277298514).

It can be divided in two parts, 4156416 and 1152000, that added together give a 4-th power (5308416 = 48⁴).

The spelling of 41564161152000 in words is "forty-one trillion, five hundred sixty-four billion, one hundred sixty-one million, one hundred fifty-two thousand".