41520380160 has 576 divisors, whose sum is σ = 159365283840. Its totient is φ = 9007595520.

The previous prime is 41520380141. The next prime is 41520380227. The reversal of 41520380160 is 6108302514.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147759220 + ... + 147759500.

It is an arithmetic number, because the mean of its divisors is an integer number (276675840).

Almost surely, 2^41520380160 is an apocalyptic number.

41520380160 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 41520380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79682641920).

41520380160 is an abundant number, since it is smaller than the sum of its proper divisors (117844903680).

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

41520380160 is a wasteful number, since it uses less digits than its factorization.

41520380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 41520380160 its reverse (6108302514), we get a palindrome (47628682674).

The spelling of 41520380160 in words is "forty-one billion, five hundred twenty million, three hundred eighty thousand, one hundred sixty".