41581325385600 has 6144 divisors, whose sum is σ = 205986016051200. Its totient is φ = 7084965888000.

The previous prime is 41581325385541. The next prime is 41581325385631. The reversal of 41581325385600 is 658352318514.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 317414697535 + ... + 317414697665.

It is an arithmetic number, because the mean of its divisors is an integer number (33526369800).

Almost surely, 2^{41581325385600} is an apocalyptic number.

41581325385600 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 41581325385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102993008025600).

41581325385600 is an abundant number, since it is smaller than the sum of its proper divisors (164404690665600).

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

41581325385600 is a wasteful number, since it uses less digits than its factorization.

41581325385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 41581325385600 in words is "forty-one trillion, five hundred eighty-one billion, three hundred twenty-five million, three hundred eighty-five thousand, six hundred".