41577120 has 144 divisors (see below), whose sum is σ = 152864712. Its totient is φ = 10229760.

The previous prime is 41577101. The next prime is 41577127. The reversal of 41577120 is 2177514.

It can be written as a sum of positive squares in 4 ways, for example, as 29550096 + 12027024 = 5436^2 + 3468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (41577127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17610 + ... + 19830.

Almost surely, 2^41577120 is an apocalyptic number.

41577120 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 41577120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76432356).

41577120 is an abundant number, since it is smaller than the sum of its proper divisors (111287592).

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

41577120 is a wasteful number, since it uses less digits than its factorization.

41577120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 41577120 is about 6448.0322579838. The cubic root of 41577120 is about 346.4321062856.

The spelling of 41577120 in words is "forty-one million, five hundred seventy-seven thousand, one hundred twenty".