41093120 has 48 divisors (see below), whose sum is σ = 98623980. Its totient is φ = 16433152.

The previous prime is 41093119. The next prime is 41093137. The reversal of 41093120 is 2139014.

It can be written as a sum of positive squares in 2 ways, for example, as 40551424 + 541696 = 6368^2 + 736^2 .

It is a super-2 number, since 2×41093120² = 3377289022668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41093092 and 41093101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8234 + ... + 12246.

Almost surely, 2^41093120 is an apocalyptic number.

41093120 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 41093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49311990).

41093120 is an abundant number, since it is smaller than the sum of its proper divisors (57530860).

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

41093120 is an equidigital number, since it uses as much as digits as its factorization.

41093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 41093120 is about 6410.3915637034. The cubic root of 41093120 is about 345.0825819253.

The spelling of 41093120 in words is "forty-one million, ninety-three thousand, one hundred twenty".