41853760 has 56 divisors (see below), whose sum is σ = 107341416. Its totient is φ = 15452160.

The previous prime is 41853733. The next prime is 41853793. The reversal of 41853760 is 6735814.

It can be written as a sum of positive squares in 4 ways, for example, as 1098304 + 40755456 = 1048^2 + 6384^2 .

It is a super-2 number, since 2×41853760² = 3503474452275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 871 + ... + 9190.

It is an arithmetic number, because the mean of its divisors is an integer number (1916811).

Almost surely, 2^41853760 is an apocalyptic number.

41853760 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 41853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53670708).

41853760 is an abundant number, since it is smaller than the sum of its proper divisors (65487656).

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

41853760 is a wasteful number, since it uses less digits than its factorization.

41853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10091 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 41853760 is about 6469.4481990352. The cubic root of 41853760 is about 347.1987555435.

The spelling of 41853760 in words is "forty-one million, eight hundred fifty-three thousand, seven hundred sixty".