41813524480 has 480 divisors, whose sum is σ = 126831882240. Its totient is φ = 12881756160.

The previous prime is 41813524457. The next prime is 41813524507. The reversal of 41813524480 is 8442531814.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 529285081 + ... + 529285159.

It is an arithmetic number, because the mean of its divisors is an integer number (264233088).

Almost surely, 2^41813524480 is an apocalyptic number.

41813524480 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 41813524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63415941120).

41813524480 is an abundant number, since it is smaller than the sum of its proper divisors (85018357760).

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

41813524480 is an equidigital number, since it uses as much as digits as its factorization.

41813524480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 41813524480 in words is "forty-one billion, eight hundred thirteen million, five hundred twenty-four thousand, four hundred eighty".