41520023344800 has 7776 divisors, whose sum is σ = 222727843630656. Its totient is φ = 7449432883200.

The previous prime is 41520023344781. The next prime is 41520023344801. The reversal of 41520023344800 is 844332002514.

41520023344800 is a `hidden beast` number, since 4 + 1 + 5 + 200 + 2 + 3 + 3 + 448 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

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

It is not an unprimeable number, because it can be changed into a prime (41520023344801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 254724069519 + ... + 254724069681.

It is an arithmetic number, because the mean of its divisors is an integer number (28642984006).

Almost surely, 2^{41520023344800} is an apocalyptic number.

41520023344800 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 41520023344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111363921815328).

41520023344800 is an abundant number, since it is smaller than the sum of its proper divisors (181207820285856).

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

41520023344800 is a wasteful number, since it uses less digits than its factorization.

41520023344800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 41520023344800 in words is "forty-one trillion, five hundred twenty billion, twenty-three million, three hundred forty-four thousand, eight hundred".