41385360800 has 216 divisors, whose sum is σ = 117937474956. Its totient is φ = 14139740160.

The previous prime is 41385360791. The next prime is 41385360827. The reversal of 41385360800 is 806358314.

It can be written as a sum of positive squares in 6 ways, for example, as 14435541904 + 26949818896 = 120148^2 + 164164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12267914 + ... + 12271286.

Almost surely, 2^41385360800 is an apocalyptic number.

41385360800 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 41385360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968737478).

41385360800 is an abundant number, since it is smaller than the sum of its proper divisors (76552114156).

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

41385360800 is a wasteful number, since it uses less digits than its factorization.

41385360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 41385360800 in words is "forty-one billion, three hundred eighty-five million, three hundred sixty thousand, eight hundred".