41109120 has 320 divisors, whose sum is σ = 160692840. Its totient is φ = 9953280.

The previous prime is 41109097. The next prime is 41109137. The reversal of 41109120 is 2190114.

It can be written as a sum of positive squares in 4 ways, for example, as 13483584 + 27625536 = 3672^2 + 5256^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41109093 and 41109102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673890 + ... + 673950.

Almost surely, 2^41109120 is an apocalyptic number.

41109120 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 41109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80346420).

41109120 is an abundant number, since it is smaller than the sum of its proper divisors (119583720).

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

41109120 is a wasteful number, since it uses less digits than its factorization.

41109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 41109120 is about 6411.6394159372. The cubic root of 41109120 is about 345.1273631837.

Adding to 41109120 its reverse (2190114), we get a palindrome (43299234).

The spelling of 41109120 in words is "forty-one million, one hundred nine thousand, one hundred twenty".