41129160 has 64 divisors (see below), whose sum is σ = 124001280. Its totient is φ = 10913280.

The previous prime is 41129147. The next prime is 41129161. The reversal of 41129160 is 6192114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41129160.

It is not an unprimeable number, because it can be changed into a prime (41129161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27225 + ... + 28695.

It is an arithmetic number, because the mean of its divisors is an integer number (1937520).

Almost surely, 2^41129160 is an apocalyptic number.

41129160 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 41129160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62000640).

41129160 is an abundant number, since it is smaller than the sum of its proper divisors (82872120).

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

41129160 is a wasteful number, since it uses less digits than its factorization.

41129160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 41129160 is about 6413.2020083574. The cubic root of 41129160 is about 345.1834353220.

The spelling of 41129160 in words is "forty-one million, one hundred twenty-nine thousand, one hundred sixty".