41802324480 has 800 divisors, whose sum is σ = 176821539840. Its totient is φ = 9236643840.

The previous prime is 41802324469. The next prime is 41802324521. The reversal of 41802324480 is 8442320814.

41802324480 is a `hidden beast` number, since 4 + 180 + 2 + 32 + 448 + 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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44996656 + ... + 44997584.

Almost surely, 2^41802324480 is an apocalyptic number.

41802324480 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 41802324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88410769920).

41802324480 is an abundant number, since it is smaller than the sum of its proper divisors (135019215360).

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

41802324480 is an equidigital number, since it uses as much as digits as its factorization.

41802324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 41802324480 in words is "forty-one billion, eight hundred two million, three hundred twenty-four thousand, four hundred eighty".