41385520 has 80 divisors (see below), whose sum is σ = 106064640. Its totient is φ = 14892800.

The previous prime is 41385517. The next prime is 41385541. The reversal of 41385520 is 2558314.

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

It is a super-2 number, since 2×41385520² = 3425522531340800, 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 15 ways as a sum of consecutive naturals, for example, 115101 + ... + 115459.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^41385520 is an apocalyptic number.

41385520 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 41385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032320).

41385520 is an abundant number, since it is smaller than the sum of its proper divisors (64679120).

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

41385520 is a wasteful number, since it uses less digits than its factorization.

41385520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 41385520 is about 6433.1578559833. The cubic root of 41385520 is about 345.8991319457.

It can be divided in two parts, 41385 and 520, that added together give a triangular number (41905 = T₂₈₉).

The spelling of 41385520 in words is "forty-one million, three hundred eighty-five thousand, five hundred twenty".