41325136800 has 288 divisors, whose sum is σ = 149924779200. Its totient is φ = 9825730560.

The previous prime is 41325136789. The next prime is 41325136807. The reversal of 41325136800 is 863152314.

41325136800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41325136807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748546 + ... + 801854.

It is an arithmetic number, because the mean of its divisors is an integer number (520572150).

Almost surely, 2^41325136800 is an apocalyptic number.

41325136800 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 41325136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74962389600).

41325136800 is an abundant number, since it is smaller than the sum of its proper divisors (108599642400).

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

41325136800 is a wasteful number, since it uses less digits than its factorization.

41325136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53368 (or 53355 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 41325136800 in words is "forty-one billion, three hundred twenty-five million, one hundred thirty-six thousand, eight hundred".