41387446161600 has 756 divisors, whose sum is σ = 173619356603112. Its totient is φ = 8599982899200.

The previous prime is 41387446161557. The next prime is 41387446161619. The reversal of 41387446161600 is 616164478314.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27732064 + ... + 29186336.

It is an arithmetic number, because the mean of its divisors is an integer number (229655233602).

Almost surely, 2^{41387446161600} is an apocalyptic number.

41387446161600 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 41387446161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86809678301556).

41387446161600 is an abundant number, since it is smaller than the sum of its proper divisors (132231910441512).

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

41387446161600 is a wasteful number, since it uses less digits than its factorization.

41387446161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454334 (or 1454301 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 41387446161600 in words is "forty-one trillion, three hundred eighty-seven billion, four hundred forty-six million, one hundred sixty-one thousand, six hundred".