41201160 has 320 divisors, whose sum is σ = 169404480. Its totient is φ = 7902720.

The previous prime is 41201143. The next prime is 41201179. The reversal of 41201160 is 6110214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 455 × 231 × 392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3169314 + ... + 3169326.

It is an arithmetic number, because the mean of its divisors is an integer number (529389).

Almost surely, 2^41201160 is an apocalyptic number.

41201160 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 41201160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84702240).

41201160 is an abundant number, since it is smaller than the sum of its proper divisors (128203320).

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

41201160 is a wasteful number, since it uses less digits than its factorization.

41201160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 41201160 is about 6418.8129743746. The cubic root of 41201160 is about 345.3847419611.

Adding to 41201160 its reverse (6110214), we get a palindrome (47311374).

The spelling of 41201160 in words is "forty-one million, two hundred one thousand, one hundred sixty".