41655440 has 80 divisors (see below), whose sum is σ = 103854960. Its totient is φ = 15482880.

The previous prime is 41655437. The next prime is 41655443. The reversal of 41655440 is 4455614.

41655440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41655437) and next prime (41655443).

It can be written as a sum of positive squares in 8 ways, for example, as 2917264 + 38738176 = 1708^2 + 6224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41655443) 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 15 ways as a sum of consecutive naturals, for example, 148100 + ... + 148380.

It is an arithmetic number, because the mean of its divisors is an integer number (1298187).

Almost surely, 2^41655440 is an apocalyptic number.

41655440 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 41655440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51927480).

41655440 is an abundant number, since it is smaller than the sum of its proper divisors (62199520).

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

41655440 is a wasteful number, since it uses less digits than its factorization.

41655440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 41655440 is about 6454.1025712333. The cubic root of 41655440 is about 346.6494978348.

It can be divided in two parts, 4165 and 5440, that multiplied together give a square (22657600 = 4760²).

The spelling of 41655440 in words is "forty-one million, six hundred fifty-five thousand, four hundred forty".