41561187532800 has 2880 divisors, whose sum is σ = 165135110676480. Its totient is φ = 9135194112000.

The previous prime is 41561187532703. The next prime is 41561187532819. The reversal of 41561187532800 is 823578116514.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 466979635156 + ... + 466979635244.

It is an arithmetic number, because the mean of its divisors is an integer number (57338580096).

Almost surely, 2^{41561187532800} is an apocalyptic number.

41561187532800 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 41561187532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82567555338240).

41561187532800 is an abundant number, since it is smaller than the sum of its proper divisors (123573923143680).

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

41561187532800 is a wasteful number, since it uses less digits than its factorization.

41561187532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 41561187532800 in words is "forty-one trillion, five hundred sixty-one billion, one hundred eighty-seven million, five hundred thirty-two thousand, eight hundred".