41445532800 has 864 divisors, whose sum is σ = 176290480080. Its totient is φ = 9239408640.

The previous prime is 41445532717. The next prime is 41445532811. The reversal of 41445532800 is 823554414.

It is a happy number.

41445532800 is a `hidden beast` number, since 4 + 1 + 4 + 45 + 532 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 60681259 + ... + 60681941.

Almost surely, 2^41445532800 is an apocalyptic number.

41445532800 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 41445532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88145240040).

41445532800 is an abundant number, since it is smaller than the sum of its proper divisors (134844947280).

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

41445532800 is a wasteful number, since it uses less digits than its factorization.

41445532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 41445532800 in words is "forty-one billion, four hundred forty-five million, five hundred thirty-two thousand, eight hundred".