41579120 has 80 divisors (see below), whose sum is σ = 108394848. Its totient is φ = 14699520.

The previous prime is 41579117. The next prime is 41579123. The reversal of 41579120 is 2197514.

41579120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41579117) and next prime (41579123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41579123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31922 + ... + 33198.

Almost surely, 2^41579120 is an apocalyptic number.

41579120 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 41579120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54197424).

41579120 is an abundant number, since it is smaller than the sum of its proper divisors (66815728).

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

41579120 is a wasteful number, since it uses less digits than its factorization.

41579120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 41579120 is about 6448.1873421916. The cubic root of 41579120 is about 346.4376610483.

The spelling of 41579120 in words is "forty-one million, five hundred seventy-nine thousand, one hundred twenty".