41132236800 has 168 divisors, whose sum is σ = 136004326416. Its totient is φ = 10968432640.

The previous prime is 41132236781. The next prime is 41132236807. The reversal of 41132236800 is 863223114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (41132236807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 580927 + ... + 647873.

It is an arithmetic number, because the mean of its divisors is an integer number (809549562).

Almost surely, 2^41132236800 is an apocalyptic number.

41132236800 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 41132236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68002163208).

41132236800 is an abundant number, since it is smaller than the sum of its proper divisors (94872089616).

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

41132236800 is an equidigital number, since it uses as much as digits as its factorization.

41132236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66986 (or 66957 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 41132236800 its reverse (863223114), we get a palindrome (41995459914).

The spelling of 41132236800 in words is "forty-one billion, one hundred thirty-two million, two hundred thirty-six thousand, eight hundred".