41127120 has 90 divisors (see below), whose sum is σ = 138698898. Its totient is φ = 10921344.

The previous prime is 41127113. The next prime is 41127137. The reversal of 41127120 is 2172114.

It can be written as a sum of positive squares in only one way, i.e., 32901696 + 8225424 = 5736^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 = 41127093 and 41127102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 171961 + ... + 172199.

Almost surely, 2^41127120 is an apocalyptic number.

41127120 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 41127120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69349449).

41127120 is an abundant number, since it is smaller than the sum of its proper divisors (97571778).

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

41127120 is a wasteful number, since it uses less digits than its factorization.

41127120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 41127120 is about 6413.0429594694. The cubic root of 41127120 is about 345.1777282126.

Adding to 41127120 its reverse (2172114), we get a palindrome (43299234).

The spelling of 41127120 in words is "forty-one million, one hundred twenty-seven thousand, one hundred twenty".