41160988800 has 144 divisors (see below), whose sum is σ = 146871943530. Its totient is φ = 10976256000.

The previous prime is 41160988783. The next prime is 41160988801. The reversal of 41160988800 is 888906114.

It can be written as a sum of positive squares in 3 ways, for example, as 37020838464 + 4140150336 = 192408^2 + 64344^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41160988801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 685801 + ... + 743400.

Almost surely, 2^41160988800 is an apocalyptic number.

41160988800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41160988800 is an abundant number, since it is smaller than the sum of its proper divisors (105710954730).

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

41160988800 is a wasteful number, since it uses less digits than its factorization.

41160988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429231 (or 1429211 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 41160988800 in words is "forty-one billion, one hundred sixty million, nine hundred eighty-eight thousand, eight hundred".