41180640 has 48 divisors (see below), whose sum is σ = 129720528. Its totient is φ = 10981376.

The previous prime is 41180599. The next prime is 41180641. The reversal of 41180640 is 4608114.

41180640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×41180640² = 3391690221619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41180640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41180641) 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 7 ways as a sum of consecutive naturals, for example, 42417 + ... + 43376.

It is an arithmetic number, because the mean of its divisors is an integer number (2702511).

Almost surely, 2^41180640 is an apocalyptic number.

41180640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41180640 is an abundant number, since it is smaller than the sum of its proper divisors (88539888).

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

41180640 is a wasteful number, since it uses less digits than its factorization.

41180640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85811 (or 85803 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 41180640 is about 6417.2143489212. The cubic root of 41180640 is about 345.3273934801.

Adding to 41180640 its reverse (4608114), we get a palindrome (45788754).

The spelling of 41180640 in words is "forty-one million, one hundred eighty thousand, six hundred forty".